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

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


Simplifying
5(x + -7) = 8(x + 6) + -1x

Reorder the terms:
5(-7 + x) = 8(x + 6) + -1x
(-7 * 5 + x * 5) = 8(x + 6) + -1x
(-35 + 5x) = 8(x + 6) + -1x

Reorder the terms:
-35 + 5x = 8(6 + x) + -1x
-35 + 5x = (6 * 8 + x * 8) + -1x
-35 + 5x = (48 + 8x) + -1x

Combine like terms: 8x + -1x = 7x
-35 + 5x = 48 + 7x

Solving
-35 + 5x = 48 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-35 + 5x + -7x = 48 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-35 + -2x = 48 + 7x + -7x

Combine like terms: 7x + -7x = 0
-35 + -2x = 48 + 0
-35 + -2x = 48

Add '35' to each side of the equation.
-35 + 35 + -2x = 48 + 35

Combine like terms: -35 + 35 = 0
0 + -2x = 48 + 35
-2x = 48 + 35

Combine like terms: 48 + 35 = 83
-2x = 83

Divide each side by '-2'.
x = -41.5

Simplifying
x = -41.5

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