2(x-4)-7=12-3(x-4)

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Solution for 2(x-4)-7=12-3(x-4) equation:


Simplifying
2(x + -4) + -7 = 12 + -3(x + -4)

Reorder the terms:
2(-4 + x) + -7 = 12 + -3(x + -4)
(-4 * 2 + x * 2) + -7 = 12 + -3(x + -4)
(-8 + 2x) + -7 = 12 + -3(x + -4)

Reorder the terms:
-8 + -7 + 2x = 12 + -3(x + -4)

Combine like terms: -8 + -7 = -15
-15 + 2x = 12 + -3(x + -4)

Reorder the terms:
-15 + 2x = 12 + -3(-4 + x)
-15 + 2x = 12 + (-4 * -3 + x * -3)
-15 + 2x = 12 + (12 + -3x)

Combine like terms: 12 + 12 = 24
-15 + 2x = 24 + -3x

Solving
-15 + 2x = 24 + -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.
-15 + 2x + 3x = 24 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-15 + 5x = 24 + -3x + 3x

Combine like terms: -3x + 3x = 0
-15 + 5x = 24 + 0
-15 + 5x = 24

Add '15' to each side of the equation.
-15 + 15 + 5x = 24 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 24 + 15
5x = 24 + 15

Combine like terms: 24 + 15 = 39
5x = 39

Divide each side by '5'.
x = 7.8

Simplifying
x = 7.8

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