3(x-7)-13=-2x+11

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Solution for 3(x-7)-13=-2x+11 equation: 


Simplifying
3(x + -7) + -13 = -2x + 11

Reorder the terms:
3(-7 + x) + -13 = -2x + 11
(-7 * 3 + x * 3) + -13 = -2x + 11
(-21 + 3x) + -13 = -2x + 11

Reorder the terms:
-21 + -13 + 3x = -2x + 11

Combine like terms: -21 + -13 = -34
-34 + 3x = -2x + 11

Reorder the terms:
-34 + 3x = 11 + -2x

Solving
-34 + 3x = 11 + -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.
-34 + 3x + 2x = 11 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-34 + 5x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
-34 + 5x = 11 + 0
-34 + 5x = 11

Add '34' to each side of the equation.
-34 + 34 + 5x = 11 + 34

Combine like terms: -34 + 34 = 0
0 + 5x = 11 + 34
5x = 11 + 34

Combine like terms: 11 + 34 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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