6(x+1)=5(2x-2)

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Solution for 6(x+1)=5(2x-2) equation:


Simplifying
6(x + 1) = 5(2x + -2)

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

Reorder the terms:
6 + 6x = 5(-2 + 2x)
6 + 6x = (-2 * 5 + 2x * 5)
6 + 6x = (-10 + 10x)

Solving
6 + 6x = -10 + 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.
6 + 6x + -10x = -10 + 10x + -10x

Combine like terms: 6x + -10x = -4x
6 + -4x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -4x = -10 + 0
6 + -4x = -10

Add '-6' to each side of the equation.
6 + -6 + -4x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -10 + -6
-4x = -10 + -6

Combine like terms: -10 + -6 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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