-55=2(x-8)+5(x-5)

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Solution for -55=2(x-8)+5(x-5) equation:


Simplifying
-55 = 2(x + -8) + 5(x + -5)

Reorder the terms:
-55 = 2(-8 + x) + 5(x + -5)
-55 = (-8 * 2 + x * 2) + 5(x + -5)
-55 = (-16 + 2x) + 5(x + -5)

Reorder the terms:
-55 = -16 + 2x + 5(-5 + x)
-55 = -16 + 2x + (-5 * 5 + x * 5)
-55 = -16 + 2x + (-25 + 5x)

Reorder the terms:
-55 = -16 + -25 + 2x + 5x

Combine like terms: -16 + -25 = -41
-55 = -41 + 2x + 5x

Combine like terms: 2x + 5x = 7x
-55 = -41 + 7x

Solving
-55 = -41 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-55 + -7x = -41 + 7x + -7x

Combine like terms: 7x + -7x = 0
-55 + -7x = -41 + 0
-55 + -7x = -41

Add '55' to each side of the equation.
-55 + 55 + -7x = -41 + 55

Combine like terms: -55 + 55 = 0
0 + -7x = -41 + 55
-7x = -41 + 55

Combine like terms: -41 + 55 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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