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

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


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

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

Combine like terms: 7 + 21 = 28
28 + -3x = -5x + 2

Reorder the terms:
28 + -3x = 2 + -5x

Solving
28 + -3x = 2 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
28 + -3x + 5x = 2 + -5x + 5x

Combine like terms: -3x + 5x = 2x
28 + 2x = 2 + -5x + 5x

Combine like terms: -5x + 5x = 0
28 + 2x = 2 + 0
28 + 2x = 2

Add '-28' to each side of the equation.
28 + -28 + 2x = 2 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = 2 + -28
2x = 2 + -28

Combine like terms: 2 + -28 = -26
2x = -26

Divide each side by '2'.
x = -13

Simplifying
x = -13

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