7(2x-2)=3(x-4)+9

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Solution for 7(2x-2)=3(x-4)+9 equation: 


Simplifying
7(2x + -2) = 3(x + -4) + 9

Reorder the terms:
7(-2 + 2x) = 3(x + -4) + 9
(-2 * 7 + 2x * 7) = 3(x + -4) + 9
(-14 + 14x) = 3(x + -4) + 9

Reorder the terms:
-14 + 14x = 3(-4 + x) + 9
-14 + 14x = (-4 * 3 + x * 3) + 9
-14 + 14x = (-12 + 3x) + 9

Reorder the terms:
-14 + 14x = -12 + 9 + 3x

Combine like terms: -12 + 9 = -3
-14 + 14x = -3 + 3x

Solving
-14 + 14x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-14 + 14x + -3x = -3 + 3x + -3x

Combine like terms: 14x + -3x = 11x
-14 + 11x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 11x = -3 + 0
-14 + 11x = -3

Add '14' to each side of the equation.
-14 + 14 + 11x = -3 + 14

Combine like terms: -14 + 14 = 0
0 + 11x = -3 + 14
11x = -3 + 14

Combine like terms: -3 + 14 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1

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