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

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


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

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

Reorder the terms:
35 + -7x = 7 + 8x

Solving
35 + -7x = 7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
35 + -7x + -8x = 7 + 8x + -8x

Combine like terms: -7x + -8x = -15x
35 + -15x = 7 + 8x + -8x

Combine like terms: 8x + -8x = 0
35 + -15x = 7 + 0
35 + -15x = 7

Add '-35' to each side of the equation.
35 + -35 + -15x = 7 + -35

Combine like terms: 35 + -35 = 0
0 + -15x = 7 + -35
-15x = 7 + -35

Combine like terms: 7 + -35 = -28
-15x = -28

Divide each side by '-15'.
x = 1.866666667

Simplifying
x = 1.866666667

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