2(-4x+5)=5(-3x+7)+10

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Solution for 2(-4x+5)=5(-3x+7)+10 equation: 


Simplifying
2(-4x + 5) = 5(-3x + 7) + 10

Reorder the terms:
2(5 + -4x) = 5(-3x + 7) + 10
(5 * 2 + -4x * 2) = 5(-3x + 7) + 10
(10 + -8x) = 5(-3x + 7) + 10

Reorder the terms:
10 + -8x = 5(7 + -3x) + 10
10 + -8x = (7 * 5 + -3x * 5) + 10
10 + -8x = (35 + -15x) + 10

Reorder the terms:
10 + -8x = 35 + 10 + -15x

Combine like terms: 35 + 10 = 45
10 + -8x = 45 + -15x

Solving
10 + -8x = 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.
10 + -8x + 15x = 45 + -15x + 15x

Combine like terms: -8x + 15x = 7x
10 + 7x = 45 + -15x + 15x

Combine like terms: -15x + 15x = 0
10 + 7x = 45 + 0
10 + 7x = 45

Add '-10' to each side of the equation.
10 + -10 + 7x = 45 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 45 + -10
7x = 45 + -10

Combine like terms: 45 + -10 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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