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

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


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

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

Combine like terms: 3 + 10 = 13
13 + -5x = -7x + -5

Reorder the terms:
13 + -5x = -5 + -7x

Solving
13 + -5x = -5 + -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.
13 + -5x + 7x = -5 + -7x + 7x

Combine like terms: -5x + 7x = 2x
13 + 2x = -5 + -7x + 7x

Combine like terms: -7x + 7x = 0
13 + 2x = -5 + 0
13 + 2x = -5

Add '-13' to each side of the equation.
13 + -13 + 2x = -5 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = -5 + -13
2x = -5 + -13

Combine like terms: -5 + -13 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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