3(3x-11)+7=2(3x-19)-x

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Solution for 3(3x-11)+7=2(3x-19)-x equation:


Simplifying
3(3x + -11) + 7 = 2(3x + -19) + -1x

Reorder the terms:
3(-11 + 3x) + 7 = 2(3x + -19) + -1x
(-11 * 3 + 3x * 3) + 7 = 2(3x + -19) + -1x
(-33 + 9x) + 7 = 2(3x + -19) + -1x

Reorder the terms:
-33 + 7 + 9x = 2(3x + -19) + -1x

Combine like terms: -33 + 7 = -26
-26 + 9x = 2(3x + -19) + -1x

Reorder the terms:
-26 + 9x = 2(-19 + 3x) + -1x
-26 + 9x = (-19 * 2 + 3x * 2) + -1x
-26 + 9x = (-38 + 6x) + -1x

Combine like terms: 6x + -1x = 5x
-26 + 9x = -38 + 5x

Solving
-26 + 9x = -38 + 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.
-26 + 9x + -5x = -38 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-26 + 4x = -38 + 5x + -5x

Combine like terms: 5x + -5x = 0
-26 + 4x = -38 + 0
-26 + 4x = -38

Add '26' to each side of the equation.
-26 + 26 + 4x = -38 + 26

Combine like terms: -26 + 26 = 0
0 + 4x = -38 + 26
4x = -38 + 26

Combine like terms: -38 + 26 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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