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

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


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

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

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

Combine like terms: 2x + -3x = -1x
8 + 4x = -7 + -1x

Solving
8 + 4x = -7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8 + 4x + x = -7 + -1x + x

Combine like terms: 4x + x = 5x
8 + 5x = -7 + -1x + x

Combine like terms: -1x + x = 0
8 + 5x = -7 + 0
8 + 5x = -7

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

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

Combine like terms: -7 + -8 = -15
5x = -15

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

Simplifying
x = -3

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