12.5(x+4)=2x-3(4-x)-7

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Solution for 12.5(x+4)=2x-3(4-x)-7 equation: 


Simplifying
12.5(x + 4) = 2x + -3(4 + -1x) + -7

Reorder the terms:
12.5(4 + x) = 2x + -3(4 + -1x) + -7
(4 * 12.5 + x * 12.5) = 2x + -3(4 + -1x) + -7
(50 + 12.5x) = 2x + -3(4 + -1x) + -7
50 + 12.5x = 2x + (4 * -3 + -1x * -3) + -7
50 + 12.5x = 2x + (-12 + 3x) + -7

Reorder the terms:
50 + 12.5x = -12 + -7 + 2x + 3x

Combine like terms: -12 + -7 = -19
50 + 12.5x = -19 + 2x + 3x

Combine like terms: 2x + 3x = 5x
50 + 12.5x = -19 + 5x

Solving
50 + 12.5x = -19 + 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.
50 + 12.5x + -5x = -19 + 5x + -5x

Combine like terms: 12.5x + -5x = 7.5x
50 + 7.5x = -19 + 5x + -5x

Combine like terms: 5x + -5x = 0
50 + 7.5x = -19 + 0
50 + 7.5x = -19

Add '-50' to each side of the equation.
50 + -50 + 7.5x = -19 + -50

Combine like terms: 50 + -50 = 0
0 + 7.5x = -19 + -50
7.5x = -19 + -50

Combine like terms: -19 + -50 = -69
7.5x = -69

Divide each side by '7.5'.
x = -9.2

Simplifying
x = -9.2

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