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

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


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

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

Reorder the terms:
11 = -14 + 5 + 7x + -2x

Combine like terms: -14 + 5 = -9
11 = -9 + 7x + -2x

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

Solving
11 = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11 + -5x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -5x = -9 + 0
11 + -5x = -9

Add '-11' to each side of the equation.
11 + -11 + -5x = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = -9 + -11
-5x = -9 + -11

Combine like terms: -9 + -11 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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