-2(x-5)+16=3(x-8)

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Solution for -2(x-5)+16=3(x-8) equation:


Simplifying
-2(x + -5) + 16 = 3(x + -8)

Reorder the terms:
-2(-5 + x) + 16 = 3(x + -8)
(-5 * -2 + x * -2) + 16 = 3(x + -8)
(10 + -2x) + 16 = 3(x + -8)

Reorder the terms:
10 + 16 + -2x = 3(x + -8)

Combine like terms: 10 + 16 = 26
26 + -2x = 3(x + -8)

Reorder the terms:
26 + -2x = 3(-8 + x)
26 + -2x = (-8 * 3 + x * 3)
26 + -2x = (-24 + 3x)

Solving
26 + -2x = -24 + 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.
26 + -2x + -3x = -24 + 3x + -3x

Combine like terms: -2x + -3x = -5x
26 + -5x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
26 + -5x = -24 + 0
26 + -5x = -24

Add '-26' to each side of the equation.
26 + -26 + -5x = -24 + -26

Combine like terms: 26 + -26 = 0
0 + -5x = -24 + -26
-5x = -24 + -26

Combine like terms: -24 + -26 = -50
-5x = -50

Divide each side by '-5'.
x = 10

Simplifying
x = 10

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