5(3-2x)=10(4-2x)-85

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Solution for 5(3-2x)=10(4-2x)-85 equation:


Simplifying
5(3 + -2x) = 10(4 + -2x) + -85
(3 * 5 + -2x * 5) = 10(4 + -2x) + -85
(15 + -10x) = 10(4 + -2x) + -85
15 + -10x = (4 * 10 + -2x * 10) + -85
15 + -10x = (40 + -20x) + -85

Reorder the terms:
15 + -10x = 40 + -85 + -20x

Combine like terms: 40 + -85 = -45
15 + -10x = -45 + -20x

Solving
15 + -10x = -45 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
15 + -10x + 20x = -45 + -20x + 20x

Combine like terms: -10x + 20x = 10x
15 + 10x = -45 + -20x + 20x

Combine like terms: -20x + 20x = 0
15 + 10x = -45 + 0
15 + 10x = -45

Add '-15' to each side of the equation.
15 + -15 + 10x = -45 + -15

Combine like terms: 15 + -15 = 0
0 + 10x = -45 + -15
10x = -45 + -15

Combine like terms: -45 + -15 = -60
10x = -60

Divide each side by '10'.
x = -6

Simplifying
x = -6

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