3x-7(x-5)=2x-13

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Solution for 3x-7(x-5)=2x-13 equation:


Simplifying
3x + -7(x + -5) = 2x + -13

Reorder the terms:
3x + -7(-5 + x) = 2x + -13
3x + (-5 * -7 + x * -7) = 2x + -13
3x + (35 + -7x) = 2x + -13

Reorder the terms:
35 + 3x + -7x = 2x + -13

Combine like terms: 3x + -7x = -4x
35 + -4x = 2x + -13

Reorder the terms:
35 + -4x = -13 + 2x

Solving
35 + -4x = -13 + 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.
35 + -4x + -2x = -13 + 2x + -2x

Combine like terms: -4x + -2x = -6x
35 + -6x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
35 + -6x = -13 + 0
35 + -6x = -13

Add '-35' to each side of the equation.
35 + -35 + -6x = -13 + -35

Combine like terms: 35 + -35 = 0
0 + -6x = -13 + -35
-6x = -13 + -35

Combine like terms: -13 + -35 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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