7x-6=4(2x-2)

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Solution for 7x-6=4(2x-2) equation:


Simplifying
7x + -6 = 4(2x + -2)

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

Reorder the terms:
-6 + 7x = 4(-2 + 2x)
-6 + 7x = (-2 * 4 + 2x * 4)
-6 + 7x = (-8 + 8x)

Solving
-6 + 7x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 7x + -8x = -8 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-6 + -1x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -1x = -8 + 0
-6 + -1x = -8

Add '6' to each side of the equation.
-6 + 6 + -1x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -8 + 6
-1x = -8 + 6

Combine like terms: -8 + 6 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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