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

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


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

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

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

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

Reorder the terms:
-8 + -7x = -3(3 + -2x)
-8 + -7x = (3 * -3 + -2x * -3)
-8 + -7x = (-9 + 6x)

Solving
-8 + -7x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + -7x + -6x = -9 + 6x + -6x

Combine like terms: -7x + -6x = -13x
-8 + -13x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -13x = -9 + 0
-8 + -13x = -9

Add '8' to each side of the equation.
-8 + 8 + -13x = -9 + 8

Combine like terms: -8 + 8 = 0
0 + -13x = -9 + 8
-13x = -9 + 8

Combine like terms: -9 + 8 = -1
-13x = -1

Divide each side by '-13'.
x = 0.07692307692

Simplifying
x = 0.07692307692

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