1-3(5x-7)=-30-2x

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Solution for 1-3(5x-7)=-30-2x equation:


Simplifying
1 + -3(5x + -7) = -30 + -2x

Reorder the terms:
1 + -3(-7 + 5x) = -30 + -2x
1 + (-7 * -3 + 5x * -3) = -30 + -2x
1 + (21 + -15x) = -30 + -2x

Combine like terms: 1 + 21 = 22
22 + -15x = -30 + -2x

Solving
22 + -15x = -30 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
22 + -15x + 2x = -30 + -2x + 2x

Combine like terms: -15x + 2x = -13x
22 + -13x = -30 + -2x + 2x

Combine like terms: -2x + 2x = 0
22 + -13x = -30 + 0
22 + -13x = -30

Add '-22' to each side of the equation.
22 + -22 + -13x = -30 + -22

Combine like terms: 22 + -22 = 0
0 + -13x = -30 + -22
-13x = -30 + -22

Combine like terms: -30 + -22 = -52
-13x = -52

Divide each side by '-13'.
x = 4

Simplifying
x = 4

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