7x-7=2(2x-3)

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


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

Reorder the terms:
-7 + 7x = 2(2x + -3)

Reorder the terms:
-7 + 7x = 2(-3 + 2x)
-7 + 7x = (-3 * 2 + 2x * 2)
-7 + 7x = (-6 + 4x)

Solving
-7 + 7x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + 7x + -4x = -6 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-7 + 3x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 3x = -6 + 0
-7 + 3x = -6

Add '7' to each side of the equation.
-7 + 7 + 3x = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = -6 + 7
3x = -6 + 7

Combine like terms: -6 + 7 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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