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

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


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

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

Combine like terms: -3 + 7 = 4
15 + -12x = 5(4) + 10

Multiply 5 * 4
15 + -12x = 20 + 10

Combine like terms: 20 + 10 = 30
15 + -12x = 30

Solving
15 + -12x = 30

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -12x = 30 + -15

Combine like terms: 15 + -15 = 0
0 + -12x = 30 + -15
-12x = 30 + -15

Combine like terms: 30 + -15 = 15
-12x = 15

Divide each side by '-12'.
x = -1.25

Simplifying
x = -1.25

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