3(-4x+5)=5(-3x+7)+10

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Solution for 3(-4x+5)=5(-3x+7)+10 equation: 


Simplifying
3(-4x + 5) = 5(-3x + 7) + 10

Reorder the terms:
3(5 + -4x) = 5(-3x + 7) + 10
(5 * 3 + -4x * 3) = 5(-3x + 7) + 10
(15 + -12x) = 5(-3x + 7) + 10

Reorder the terms:
15 + -12x = 5(7 + -3x) + 10
15 + -12x = (7 * 5 + -3x * 5) + 10
15 + -12x = (35 + -15x) + 10

Reorder the terms:
15 + -12x = 35 + 10 + -15x

Combine like terms: 35 + 10 = 45
15 + -12x = 45 + -15x

Solving
15 + -12x = 45 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
15 + -12x + 15x = 45 + -15x + 15x

Combine like terms: -12x + 15x = 3x
15 + 3x = 45 + -15x + 15x

Combine like terms: -15x + 15x = 0
15 + 3x = 45 + 0
15 + 3x = 45

Add '-15' to each side of the equation.
15 + -15 + 3x = 45 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 45 + -15
3x = 45 + -15

Combine like terms: 45 + -15 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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