11x-7=4(3x-4)

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Solution for 11x-7=4(3x-4) equation:


Simplifying
11x + -7 = 4(3x + -4)

Reorder the terms:
-7 + 11x = 4(3x + -4)

Reorder the terms:
-7 + 11x = 4(-4 + 3x)
-7 + 11x = (-4 * 4 + 3x * 4)
-7 + 11x = (-16 + 12x)

Solving
-7 + 11x = -16 + 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.
-7 + 11x + -12x = -16 + 12x + -12x

Combine like terms: 11x + -12x = -1x
-7 + -1x = -16 + 12x + -12x

Combine like terms: 12x + -12x = 0
-7 + -1x = -16 + 0
-7 + -1x = -16

Add '7' to each side of the equation.
-7 + 7 + -1x = -16 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = -16 + 7
-1x = -16 + 7

Combine like terms: -16 + 7 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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