x-7=3(2x-4)

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Solution for x-7=3(2x-4) equation:


Simplifying
x + -7 = 3(2x + -4)

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

Reorder the terms:
-7 + x = 3(-4 + 2x)
-7 + x = (-4 * 3 + 2x * 3)
-7 + x = (-12 + 6x)

Solving
-7 + x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + x + -6x = -12 + 6x + -6x

Combine like terms: x + -6x = -5x
-7 + -5x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -5x = -12 + 0
-7 + -5x = -12

Add '7' to each side of the equation.
-7 + 7 + -5x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = -12 + 7
-5x = -12 + 7

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

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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