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

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


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

Reorder the terms:
11 = 7(-5 + 2x) + -2(x + -5)
11 = (-5 * 7 + 2x * 7) + -2(x + -5)
11 = (-35 + 14x) + -2(x + -5)

Reorder the terms:
11 = -35 + 14x + -2(-5 + x)
11 = -35 + 14x + (-5 * -2 + x * -2)
11 = -35 + 14x + (10 + -2x)

Reorder the terms:
11 = -35 + 10 + 14x + -2x

Combine like terms: -35 + 10 = -25
11 = -25 + 14x + -2x

Combine like terms: 14x + -2x = 12x
11 = -25 + 12x

Solving
11 = -25 + 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.
11 + -12x = -25 + 12x + -12x

Combine like terms: 12x + -12x = 0
11 + -12x = -25 + 0
11 + -12x = -25

Add '-11' to each side of the equation.
11 + -11 + -12x = -25 + -11

Combine like terms: 11 + -11 = 0
0 + -12x = -25 + -11
-12x = -25 + -11

Combine like terms: -25 + -11 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3

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