11=5(2+2x)-3(1+4x)

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Solution for 11=5(2+2x)-3(1+4x) equation:


Simplifying
11 = 5(2 + 2x) + -3(1 + 4x)
11 = (2 * 5 + 2x * 5) + -3(1 + 4x)
11 = (10 + 10x) + -3(1 + 4x)
11 = 10 + 10x + (1 * -3 + 4x * -3)
11 = 10 + 10x + (-3 + -12x)

Reorder the terms:
11 = 10 + -3 + 10x + -12x

Combine like terms: 10 + -3 = 7
11 = 7 + 10x + -12x

Combine like terms: 10x + -12x = -2x
11 = 7 + -2x

Solving
11 = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
11 + 2x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + 2x = 7 + 0
11 + 2x = 7

Add '-11' to each side of the equation.
11 + -11 + 2x = 7 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 7 + -11
2x = 7 + -11

Combine like terms: 7 + -11 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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