11x-(2x+7)=5(2x-11)

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Solution for 11x-(2x+7)=5(2x-11) equation:


Simplifying
11x + -1(2x + 7) = 5(2x + -11)

Reorder the terms:
11x + -1(7 + 2x) = 5(2x + -11)
11x + (7 * -1 + 2x * -1) = 5(2x + -11)
11x + (-7 + -2x) = 5(2x + -11)

Reorder the terms:
-7 + 11x + -2x = 5(2x + -11)

Combine like terms: 11x + -2x = 9x
-7 + 9x = 5(2x + -11)

Reorder the terms:
-7 + 9x = 5(-11 + 2x)
-7 + 9x = (-11 * 5 + 2x * 5)
-7 + 9x = (-55 + 10x)

Solving
-7 + 9x = -55 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-7 + 9x + -10x = -55 + 10x + -10x

Combine like terms: 9x + -10x = -1x
-7 + -1x = -55 + 10x + -10x

Combine like terms: 10x + -10x = 0
-7 + -1x = -55 + 0
-7 + -1x = -55

Add '7' to each side of the equation.
-7 + 7 + -1x = -55 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = -55 + 7
-1x = -55 + 7

Combine like terms: -55 + 7 = -48
-1x = -48

Divide each side by '-1'.
x = 48

Simplifying
x = 48

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