(x-2)*3+7=6(2x-4)+7

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Solution for (x-2)*3+7=6(2x-4)+7 equation:


Simplifying
(x + -2) * 3 + 7 = 6(2x + -4) + 7

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

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

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

Combine like terms: -6 + 7 = 1
1 + 3x = 6(2x + -4) + 7

Reorder the terms:
1 + 3x = 6(-4 + 2x) + 7
1 + 3x = (-4 * 6 + 2x * 6) + 7
1 + 3x = (-24 + 12x) + 7

Reorder the terms:
1 + 3x = -24 + 7 + 12x

Combine like terms: -24 + 7 = -17
1 + 3x = -17 + 12x

Solving
1 + 3x = -17 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
1 + 3x + -12x = -17 + 12x + -12x

Combine like terms: 3x + -12x = -9x
1 + -9x = -17 + 12x + -12x

Combine like terms: 12x + -12x = 0
1 + -9x = -17 + 0
1 + -9x = -17

Add '-1' to each side of the equation.
1 + -1 + -9x = -17 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = -17 + -1
-9x = -17 + -1

Combine like terms: -17 + -1 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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