8(4x+1)=5x-7x

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Solution for 8(4x+1)=5x-7x equation:


Simplifying
8(4x + 1) = 5x + -7x

Reorder the terms:
8(1 + 4x) = 5x + -7x
(1 * 8 + 4x * 8) = 5x + -7x
(8 + 32x) = 5x + -7x

Combine like terms: 5x + -7x = -2x
8 + 32x = -2x

Solving
8 + 32x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + 32x + 2x = -2x + 2x

Combine like terms: 32x + 2x = 34x
8 + 34x = -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 34x = 0

Add '-8' to each side of the equation.
8 + -8 + 34x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 34x = 0 + -8
34x = 0 + -8

Combine like terms: 0 + -8 = -8
34x = -8

Divide each side by '34'.
x = -0.2352941176

Simplifying
x = -0.2352941176

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