-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 = 27x
-15 + 27x = 45 + -15x + 15x

Combine like terms: -15x + 15x = 0
-15 + 27x = 45 + 0
-15 + 27x = 45

Add '15' to each side of the equation.
-15 + 15 + 27x = 45 + 15

Combine like terms: -15 + 15 = 0
0 + 27x = 45 + 15
27x = 45 + 15

Combine like terms: 45 + 15 = 60
27x = 60

Divide each side by '27'.
x = 2.222222222

Simplifying
x = 2.222222222

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