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

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


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

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

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

Reorder the terms:
4 + 2x = -12 + 2x + -3x

Combine like terms: 2x + -3x = -1x
4 + 2x = -12 + -1x

Solving
4 + 2x = -12 + -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.
4 + 2x + x = -12 + -1x + x

Combine like terms: 2x + x = 3x
4 + 3x = -12 + -1x + x

Combine like terms: -1x + x = 0
4 + 3x = -12 + 0
4 + 3x = -12

Add '-4' to each side of the equation.
4 + -4 + 3x = -12 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = -12 + -4
3x = -12 + -4

Combine like terms: -12 + -4 = -16
3x = -16

Divide each side by '3'.
x = -5.333333333

Simplifying
x = -5.333333333

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