11+7(3+2x)=5x-4

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Solution for 11+7(3+2x)=5x-4 equation:


Simplifying
11 + 7(3 + 2x) = 5x + -4
11 + (3 * 7 + 2x * 7) = 5x + -4
11 + (21 + 14x) = 5x + -4

Combine like terms: 11 + 21 = 32
32 + 14x = 5x + -4

Reorder the terms:
32 + 14x = -4 + 5x

Solving
32 + 14x = -4 + 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.
32 + 14x + -5x = -4 + 5x + -5x

Combine like terms: 14x + -5x = 9x
32 + 9x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + 9x = -4 + 0
32 + 9x = -4

Add '-32' to each side of the equation.
32 + -32 + 9x = -4 + -32

Combine like terms: 32 + -32 = 0
0 + 9x = -4 + -32
9x = -4 + -32

Combine like terms: -4 + -32 = -36
9x = -36

Divide each side by '9'.
x = -4

Simplifying
x = -4

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