-3x-8(x+2)=-5(2x+5)

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Solution for -3x-8(x+2)=-5(2x+5) equation:


Simplifying
-3x + -8(x + 2) = -5(2x + 5)

Reorder the terms:
-3x + -8(2 + x) = -5(2x + 5)
-3x + (2 * -8 + x * -8) = -5(2x + 5)
-3x + (-16 + -8x) = -5(2x + 5)

Reorder the terms:
-16 + -3x + -8x = -5(2x + 5)

Combine like terms: -3x + -8x = -11x
-16 + -11x = -5(2x + 5)

Reorder the terms:
-16 + -11x = -5(5 + 2x)
-16 + -11x = (5 * -5 + 2x * -5)
-16 + -11x = (-25 + -10x)

Solving
-16 + -11x = -25 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-16 + -11x + 10x = -25 + -10x + 10x

Combine like terms: -11x + 10x = -1x
-16 + -1x = -25 + -10x + 10x

Combine like terms: -10x + 10x = 0
-16 + -1x = -25 + 0
-16 + -1x = -25

Add '16' to each side of the equation.
-16 + 16 + -1x = -25 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -25 + 16
-1x = -25 + 16

Combine like terms: -25 + 16 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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