7x+5=4(x+2)-12

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Solution for 7x+5=4(x+2)-12 equation:


Simplifying
7x + 5 = 4(x + 2) + -12

Reorder the terms:
5 + 7x = 4(x + 2) + -12

Reorder the terms:
5 + 7x = 4(2 + x) + -12
5 + 7x = (2 * 4 + x * 4) + -12
5 + 7x = (8 + 4x) + -12

Reorder the terms:
5 + 7x = 8 + -12 + 4x

Combine like terms: 8 + -12 = -4
5 + 7x = -4 + 4x

Solving
5 + 7x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 7x + -4x = -4 + 4x + -4x

Combine like terms: 7x + -4x = 3x
5 + 3x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + 3x = -4 + 0
5 + 3x = -4

Add '-5' to each side of the equation.
5 + -5 + 3x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = -4 + -5
3x = -4 + -5

Combine like terms: -4 + -5 = -9
3x = -9

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

Simplifying
x = -3

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