4-2x+5=5(7-8x)-6(1-3x)

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Solution for 4-2x+5=5(7-8x)-6(1-3x) equation:


Simplifying
4 + -2x + 5 = 5(7 + -8x) + -6(1 + -3x)

Reorder the terms:
4 + 5 + -2x = 5(7 + -8x) + -6(1 + -3x)

Combine like terms: 4 + 5 = 9
9 + -2x = 5(7 + -8x) + -6(1 + -3x)
9 + -2x = (7 * 5 + -8x * 5) + -6(1 + -3x)
9 + -2x = (35 + -40x) + -6(1 + -3x)
9 + -2x = 35 + -40x + (1 * -6 + -3x * -6)
9 + -2x = 35 + -40x + (-6 + 18x)

Reorder the terms:
9 + -2x = 35 + -6 + -40x + 18x

Combine like terms: 35 + -6 = 29
9 + -2x = 29 + -40x + 18x

Combine like terms: -40x + 18x = -22x
9 + -2x = 29 + -22x

Solving
9 + -2x = 29 + -22x

Solving for variable 'x'.

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

Add '22x' to each side of the equation.
9 + -2x + 22x = 29 + -22x + 22x

Combine like terms: -2x + 22x = 20x
9 + 20x = 29 + -22x + 22x

Combine like terms: -22x + 22x = 0
9 + 20x = 29 + 0
9 + 20x = 29

Add '-9' to each side of the equation.
9 + -9 + 20x = 29 + -9

Combine like terms: 9 + -9 = 0
0 + 20x = 29 + -9
20x = 29 + -9

Combine like terms: 29 + -9 = 20
20x = 20

Divide each side by '20'.
x = 1

Simplifying
x = 1

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