5(x-8)+7(6+4x)=-13

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Solution for 5(x-8)+7(6+4x)=-13 equation:


Simplifying
5(x + -8) + 7(6 + 4x) = -13

Reorder the terms:
5(-8 + x) + 7(6 + 4x) = -13
(-8 * 5 + x * 5) + 7(6 + 4x) = -13
(-40 + 5x) + 7(6 + 4x) = -13
-40 + 5x + (6 * 7 + 4x * 7) = -13
-40 + 5x + (42 + 28x) = -13

Reorder the terms:
-40 + 42 + 5x + 28x = -13

Combine like terms: -40 + 42 = 2
2 + 5x + 28x = -13

Combine like terms: 5x + 28x = 33x
2 + 33x = -13

Solving
2 + 33x = -13

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 33x = -13 + -2

Combine like terms: 2 + -2 = 0
0 + 33x = -13 + -2
33x = -13 + -2

Combine like terms: -13 + -2 = -15
33x = -15

Divide each side by '33'.
x = -0.4545454545

Simplifying
x = -0.4545454545

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