5(2-7x)+13x=4x-8-(5x-8)

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Solution for 5(2-7x)+13x=4x-8-(5x-8) equation:


Simplifying
5(2 + -7x) + 13x = 4x + -8 + -1(5x + -8)
(2 * 5 + -7x * 5) + 13x = 4x + -8 + -1(5x + -8)
(10 + -35x) + 13x = 4x + -8 + -1(5x + -8)

Combine like terms: -35x + 13x = -22x
10 + -22x = 4x + -8 + -1(5x + -8)

Reorder the terms:
10 + -22x = 4x + -8 + -1(-8 + 5x)
10 + -22x = 4x + -8 + (-8 * -1 + 5x * -1)
10 + -22x = 4x + -8 + (8 + -5x)

Reorder the terms:
10 + -22x = -8 + 8 + 4x + -5x

Combine like terms: -8 + 8 = 0
10 + -22x = 0 + 4x + -5x
10 + -22x = 4x + -5x

Combine like terms: 4x + -5x = -1x
10 + -22x = -1x

Solving
10 + -22x = -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.
10 + -22x + x = -1x + x

Combine like terms: -22x + x = -21x
10 + -21x = -1x + x

Combine like terms: -1x + x = 0
10 + -21x = 0

Add '-10' to each side of the equation.
10 + -10 + -21x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -21x = 0 + -10
-21x = 0 + -10

Combine like terms: 0 + -10 = -10
-21x = -10

Divide each side by '-21'.
x = 0.4761904762

Simplifying
x = 0.4761904762

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