5x-7(-4x-13)=-47

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Solution for 5x-7(-4x-13)=-47 equation:


Simplifying
5x + -7(-4x + -13) = -47

Reorder the terms:
5x + -7(-13 + -4x) = -47
5x + (-13 * -7 + -4x * -7) = -47
5x + (91 + 28x) = -47

Reorder the terms:
91 + 5x + 28x = -47

Combine like terms: 5x + 28x = 33x
91 + 33x = -47

Solving
91 + 33x = -47

Solving for variable 'x'.

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

Add '-91' to each side of the equation.
91 + -91 + 33x = -47 + -91

Combine like terms: 91 + -91 = 0
0 + 33x = -47 + -91
33x = -47 + -91

Combine like terms: -47 + -91 = -138
33x = -138

Divide each side by '33'.
x = -4.181818182

Simplifying
x = -4.181818182

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