4x-7=2(x-6)

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


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

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

Reorder the terms:
-7 + 4x = 2(-6 + x)
-7 + 4x = (-6 * 2 + x * 2)
-7 + 4x = (-12 + 2x)

Solving
-7 + 4x = -12 + 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 + 4x + -2x = -12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-7 + 2x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 2x = -12 + 0
-7 + 2x = -12

Add '7' to each side of the equation.
-7 + 7 + 2x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -12 + 7
2x = -12 + 7

Combine like terms: -12 + 7 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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