4(x-1)+x=5x-7-2x

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Solution for 4(x-1)+x=5x-7-2x equation:


Simplifying
4(x + -1) + x = 5x + -7 + -2x

Reorder the terms:
4(-1 + x) + x = 5x + -7 + -2x
(-1 * 4 + x * 4) + x = 5x + -7 + -2x
(-4 + 4x) + x = 5x + -7 + -2x

Combine like terms: 4x + x = 5x
-4 + 5x = 5x + -7 + -2x

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

Combine like terms: 5x + -2x = 3x
-4 + 5x = -7 + 3x

Solving
-4 + 5x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 5x + -3x = -7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-4 + 2x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 2x = -7 + 0
-4 + 2x = -7

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

Combine like terms: -4 + 4 = 0
0 + 2x = -7 + 4
2x = -7 + 4

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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