2(3-5(x-1))=7x-1

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


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

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

Combine like terms: 3 + 5 = 8
2(8 + -5x) = 7x + -1
(8 * 2 + -5x * 2) = 7x + -1
(16 + -10x) = 7x + -1

Reorder the terms:
16 + -10x = -1 + 7x

Solving
16 + -10x = -1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
16 + -10x + -7x = -1 + 7x + -7x

Combine like terms: -10x + -7x = -17x
16 + -17x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -17x = -1 + 0
16 + -17x = -1

Add '-16' to each side of the equation.
16 + -16 + -17x = -1 + -16

Combine like terms: 16 + -16 = 0
0 + -17x = -1 + -16
-17x = -1 + -16

Combine like terms: -1 + -16 = -17
-17x = -17

Divide each side by '-17'.
x = 1

Simplifying
x = 1

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