2(3x-4)=-3x+40

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Solution for 2(3x-4)=-3x+40 equation:


Simplifying
2(3x + -4) = -3x + 40

Reorder the terms:
2(-4 + 3x) = -3x + 40
(-4 * 2 + 3x * 2) = -3x + 40
(-8 + 6x) = -3x + 40

Reorder the terms:
-8 + 6x = 40 + -3x

Solving
-8 + 6x = 40 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-8 + 6x + 3x = 40 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-8 + 9x = 40 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 9x = 40 + 0
-8 + 9x = 40

Add '8' to each side of the equation.
-8 + 8 + 9x = 40 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 40 + 8
9x = 40 + 8

Combine like terms: 40 + 8 = 48
9x = 48

Divide each side by '9'.
x = 5.333333333

Simplifying
x = 5.333333333

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