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

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


Simplifying
4(7 + -8x) + -5 = 5(5x + 1)
(7 * 4 + -8x * 4) + -5 = 5(5x + 1)
(28 + -32x) + -5 = 5(5x + 1)

Reorder the terms:
28 + -5 + -32x = 5(5x + 1)

Combine like terms: 28 + -5 = 23
23 + -32x = 5(5x + 1)

Reorder the terms:
23 + -32x = 5(1 + 5x)
23 + -32x = (1 * 5 + 5x * 5)
23 + -32x = (5 + 25x)

Solving
23 + -32x = 5 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
23 + -32x + -25x = 5 + 25x + -25x

Combine like terms: -32x + -25x = -57x
23 + -57x = 5 + 25x + -25x

Combine like terms: 25x + -25x = 0
23 + -57x = 5 + 0
23 + -57x = 5

Add '-23' to each side of the equation.
23 + -23 + -57x = 5 + -23

Combine like terms: 23 + -23 = 0
0 + -57x = 5 + -23
-57x = 5 + -23

Combine like terms: 5 + -23 = -18
-57x = -18

Divide each side by '-57'.
x = 0.3157894737

Simplifying
x = 0.3157894737

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