-5(2x-21)=2(x-5)-5

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Solution for -5(2x-21)=2(x-5)-5 equation: 


Simplifying
-5(2x + -21) = 2(x + -5) + -5

Reorder the terms:
-5(-21 + 2x) = 2(x + -5) + -5
(-21 * -5 + 2x * -5) = 2(x + -5) + -5
(105 + -10x) = 2(x + -5) + -5

Reorder the terms:
105 + -10x = 2(-5 + x) + -5
105 + -10x = (-5 * 2 + x * 2) + -5
105 + -10x = (-10 + 2x) + -5

Reorder the terms:
105 + -10x = -10 + -5 + 2x

Combine like terms: -10 + -5 = -15
105 + -10x = -15 + 2x

Solving
105 + -10x = -15 + 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.
105 + -10x + -2x = -15 + 2x + -2x

Combine like terms: -10x + -2x = -12x
105 + -12x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
105 + -12x = -15 + 0
105 + -12x = -15

Add '-105' to each side of the equation.
105 + -105 + -12x = -15 + -105

Combine like terms: 105 + -105 = 0
0 + -12x = -15 + -105
-12x = -15 + -105

Combine like terms: -15 + -105 = -120
-12x = -120

Divide each side by '-12'.
x = 10

Simplifying
x = 10

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