2(x-4)=5x+7

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Solution for 2(x-4)=5x+7 equation:


Simplifying
2(x + -4) = 5x + 7

Reorder the terms:
2(-4 + x) = 5x + 7
(-4 * 2 + x * 2) = 5x + 7
(-8 + 2x) = 5x + 7

Reorder the terms:
-8 + 2x = 7 + 5x

Solving
-8 + 2x = 7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 2x + -5x = 7 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-8 + -3x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -3x = 7 + 0
-8 + -3x = 7

Add '8' to each side of the equation.
-8 + 8 + -3x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 7 + 8
-3x = 7 + 8

Combine like terms: 7 + 8 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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