How many solutions does 2(3x-4)=-(8-6x) have?

Question

How many solutions does 2(3x-4)=-(8-6x) have?

1 Answer

Related questions

How do you check solutions to equations with variables on both sides?
How do you solve $125 + 20 w - 20 w = 43 + 37 w - 20 w$ $125+20w-20w=43+37w-20w$ ?
How do you solve for x in $3 (x - 1) = 2 (x + 3)$ $3(x-1) = 2 (x+3)$ ?
Is there a way to solve for x without using distribution in $4 (x - 1) = 2 (x + 3)$ $4(x-1) = 2 (x+3)$ ?
How do you solve for t in $\frac{2}{7} (t + \frac{2}{3}) = \frac{1}{5} (t - \frac{2}{3})$ $2/7(t+2/3)=1/5(t-2/3)$ ?
How do you solve $5 n + 34 = - 2 (1 - 7 n)$ $5n + 34 = −2(1 − 7n)$ ?
How do you simplify first and then solve $- (1 + 7 x) - 6 (- 7 - x) = 36$ $−(1 + 7x) − 6(−7 − x) = 36$ ?
Why is the solution to this equation $- 15 y + 7 y + 1 = 3 - 8 y$ $-15y + 7y + 1 = 3 - 8y$ , "no solution"?
How do you solve for variable w in the equation $v = l w h$ $v=lwh$ ?
How do you solve $y - y_{1} = m (x - x_{1})$ $y-y_1=m(x-x_1)$ for m?

Impact of this question

7327 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-23T08:16:19

There is an infinite number of solutions.
$x$ $x$ can have any value.

Explanation:

As it is a linear equation, it would appear that there is one solution.
But it might also be an identity.

Solve to check..

$2 (3 x - 4) = - (8 - 6 x)$ $2(3x-4) = -(8-6x)$

$6 x - 8 = - 8 + 6 x L H S = R H S$ $6x-8 = -8+6x" "LHS = RHS$

$6 x - 6 x = - 8 + 8$ $6x-6x = -8+8$

$0 = 0$ $0=0$

This is a TRUE statement, but there is no $x$ $x$ term left to solve for.
Therefore this represents an identity, which means it is true for any value of the variable.

Science

Math

Humanities

... and beyond

How many solutions does 2(3x-4)=-(8-6x) have?

1 Answer

Explanation:

Related questions

Impact of this question