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

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


Simplifying
2(x + -1) + (7x + -5) + -1(5x + -3) = 0

Reorder the terms:
2(-1 + x) + (7x + -5) + -1(5x + -3) = 0
(-1 * 2 + x * 2) + (7x + -5) + -1(5x + -3) = 0
(-2 + 2x) + (7x + -5) + -1(5x + -3) = 0

Reorder the terms:
-2 + 2x + (-5 + 7x) + -1(5x + -3) = 0

Remove parenthesis around (-5 + 7x)
-2 + 2x + -5 + 7x + -1(5x + -3) = 0

Reorder the terms:
-2 + 2x + -5 + 7x + -1(-3 + 5x) = 0
-2 + 2x + -5 + 7x + (-3 * -1 + 5x * -1) = 0
-2 + 2x + -5 + 7x + (3 + -5x) = 0

Reorder the terms:
-2 + -5 + 3 + 2x + 7x + -5x = 0

Combine like terms: -2 + -5 = -7
-7 + 3 + 2x + 7x + -5x = 0

Combine like terms: -7 + 3 = -4
-4 + 2x + 7x + -5x = 0

Combine like terms: 2x + 7x = 9x
-4 + 9x + -5x = 0

Combine like terms: 9x + -5x = 4x
-4 + 4x = 0

Solving
-4 + 4x = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 4x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 0 + 4
4x = 0 + 4

Combine like terms: 0 + 4 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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