-4(x+2)-2x+3=7x-(5x-2)

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Solution for -4(x+2)-2x+3=7x-(5x-2) equation:


Simplifying
-4(x + 2) + -2x + 3 = 7x + -1(5x + -2)

Reorder the terms:
-4(2 + x) + -2x + 3 = 7x + -1(5x + -2)
(2 * -4 + x * -4) + -2x + 3 = 7x + -1(5x + -2)
(-8 + -4x) + -2x + 3 = 7x + -1(5x + -2)

Reorder the terms:
-8 + 3 + -4x + -2x = 7x + -1(5x + -2)

Combine like terms: -8 + 3 = -5
-5 + -4x + -2x = 7x + -1(5x + -2)

Combine like terms: -4x + -2x = -6x
-5 + -6x = 7x + -1(5x + -2)

Reorder the terms:
-5 + -6x = 7x + -1(-2 + 5x)
-5 + -6x = 7x + (-2 * -1 + 5x * -1)
-5 + -6x = 7x + (2 + -5x)

Reorder the terms:
-5 + -6x = 2 + 7x + -5x

Combine like terms: 7x + -5x = 2x
-5 + -6x = 2 + 2x

Solving
-5 + -6x = 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.
-5 + -6x + -2x = 2 + 2x + -2x

Combine like terms: -6x + -2x = -8x
-5 + -8x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + -8x = 2 + 0
-5 + -8x = 2

Add '5' to each side of the equation.
-5 + 5 + -8x = 2 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = 2 + 5
-8x = 2 + 5

Combine like terms: 2 + 5 = 7
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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