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

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


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

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

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

Remove parenthesis around (-2 + x)
7 + 4x = -2 + x + -3x

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

Solving
7 + 4x = -2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
7 + 4x + 2x = -2 + -2x + 2x

Combine like terms: 4x + 2x = 6x
7 + 6x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + 6x = -2 + 0
7 + 6x = -2

Add '-7' to each side of the equation.
7 + -7 + 6x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = -2 + -7
6x = -2 + -7

Combine like terms: -2 + -7 = -9
6x = -9

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5

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