2(3x-1)-2(2x+7)=5(x-5)

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Solution for 2(3x-1)-2(2x+7)=5(x-5) equation:


Simplifying
2(3x + -1) + -2(2x + 7) = 5(x + -5)

Reorder the terms:
2(-1 + 3x) + -2(2x + 7) = 5(x + -5)
(-1 * 2 + 3x * 2) + -2(2x + 7) = 5(x + -5)
(-2 + 6x) + -2(2x + 7) = 5(x + -5)

Reorder the terms:
-2 + 6x + -2(7 + 2x) = 5(x + -5)
-2 + 6x + (7 * -2 + 2x * -2) = 5(x + -5)
-2 + 6x + (-14 + -4x) = 5(x + -5)

Reorder the terms:
-2 + -14 + 6x + -4x = 5(x + -5)

Combine like terms: -2 + -14 = -16
-16 + 6x + -4x = 5(x + -5)

Combine like terms: 6x + -4x = 2x
-16 + 2x = 5(x + -5)

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

Solving
-16 + 2x = -25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-16 + 2x + -5x = -25 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-16 + -3x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -3x = -25 + 0
-16 + -3x = -25

Add '16' to each side of the equation.
-16 + 16 + -3x = -25 + 16

Combine like terms: -16 + 16 = 0
0 + -3x = -25 + 16
-3x = -25 + 16

Combine like terms: -25 + 16 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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