3(x-7)+1=2x-13

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Solution for 3(x-7)+1=2x-13 equation:


Simplifying
3(x + -7) + 1 = 2x + -13

Reorder the terms:
3(-7 + x) + 1 = 2x + -13
(-7 * 3 + x * 3) + 1 = 2x + -13
(-21 + 3x) + 1 = 2x + -13

Reorder the terms:
-21 + 1 + 3x = 2x + -13

Combine like terms: -21 + 1 = -20
-20 + 3x = 2x + -13

Reorder the terms:
-20 + 3x = -13 + 2x

Solving
-20 + 3x = -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.
-20 + 3x + -2x = -13 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-20 + 1x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 1x = -13 + 0
-20 + 1x = -13

Add '20' to each side of the equation.
-20 + 20 + 1x = -13 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = -13 + 20
1x = -13 + 20

Combine like terms: -13 + 20 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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