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

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


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

Reorder the terms:
8 + -3(-4 + 2x) = 7x + 2(5x + -3)
8 + (-4 * -3 + 2x * -3) = 7x + 2(5x + -3)
8 + (12 + -6x) = 7x + 2(5x + -3)

Combine like terms: 8 + 12 = 20
20 + -6x = 7x + 2(5x + -3)

Reorder the terms:
20 + -6x = 7x + 2(-3 + 5x)
20 + -6x = 7x + (-3 * 2 + 5x * 2)
20 + -6x = 7x + (-6 + 10x)

Reorder the terms:
20 + -6x = -6 + 7x + 10x

Combine like terms: 7x + 10x = 17x
20 + -6x = -6 + 17x

Solving
20 + -6x = -6 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
20 + -6x + -17x = -6 + 17x + -17x

Combine like terms: -6x + -17x = -23x
20 + -23x = -6 + 17x + -17x

Combine like terms: 17x + -17x = 0
20 + -23x = -6 + 0
20 + -23x = -6

Add '-20' to each side of the equation.
20 + -20 + -23x = -6 + -20

Combine like terms: 20 + -20 = 0
0 + -23x = -6 + -20
-23x = -6 + -20

Combine like terms: -6 + -20 = -26
-23x = -26

Divide each side by '-23'.
x = 1.130434783

Simplifying
x = 1.130434783

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