5(2x-1)+7x=10-3(5-4x)

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Solution for 5(2x-1)+7x=10-3(5-4x) equation: 


Simplifying
5(2x + -1) + 7x = 10 + -3(5 + -4x)

Reorder the terms:
5(-1 + 2x) + 7x = 10 + -3(5 + -4x)
(-1 * 5 + 2x * 5) + 7x = 10 + -3(5 + -4x)
(-5 + 10x) + 7x = 10 + -3(5 + -4x)

Combine like terms: 10x + 7x = 17x
-5 + 17x = 10 + -3(5 + -4x)
-5 + 17x = 10 + (5 * -3 + -4x * -3)
-5 + 17x = 10 + (-15 + 12x)

Combine like terms: 10 + -15 = -5
-5 + 17x = -5 + 12x

Add '5' to each side of the equation.
-5 + 5 + 17x = -5 + 5 + 12x

Combine like terms: -5 + 5 = 0
0 + 17x = -5 + 5 + 12x
17x = -5 + 5 + 12x

Combine like terms: -5 + 5 = 0
17x = 0 + 12x
17x = 12x

Solving
17x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
17x + -12x = 12x + -12x

Combine like terms: 17x + -12x = 5x
5x = 12x + -12x

Combine like terms: 12x + -12x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0

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