5(8x-7)=-x

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Solution for 5(8x-7)=-x equation:


Simplifying
5(8x + -7) = -1x

Reorder the terms:
5(-7 + 8x) = -1x
(-7 * 5 + 8x * 5) = -1x
(-35 + 40x) = -1x

Solving
-35 + 40x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-35 + 40x + x = -1x + x

Combine like terms: 40x + x = 41x
-35 + 41x = -1x + x

Combine like terms: -1x + x = 0
-35 + 41x = 0

Add '35' to each side of the equation.
-35 + 35 + 41x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 41x = 0 + 35
41x = 0 + 35

Combine like terms: 0 + 35 = 35
41x = 35

Divide each side by '41'.
x = 0.8536585366

Simplifying
x = 0.8536585366

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