6x-7=2(x-2)

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


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

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

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

Solving
-7 + 6x = -4 + 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.
-7 + 6x + -2x = -4 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-7 + 4x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 4x = -4 + 0
-7 + 4x = -4

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

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

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

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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