9(2x-9)+11=3x-2

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Solution for 9(2x-9)+11=3x-2 equation:


Simplifying
9(2x + -9) + 11 = 3x + -2

Reorder the terms:
9(-9 + 2x) + 11 = 3x + -2
(-9 * 9 + 2x * 9) + 11 = 3x + -2
(-81 + 18x) + 11 = 3x + -2

Reorder the terms:
-81 + 11 + 18x = 3x + -2

Combine like terms: -81 + 11 = -70
-70 + 18x = 3x + -2

Reorder the terms:
-70 + 18x = -2 + 3x

Solving
-70 + 18x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-70 + 18x + -3x = -2 + 3x + -3x

Combine like terms: 18x + -3x = 15x
-70 + 15x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-70 + 15x = -2 + 0
-70 + 15x = -2

Add '70' to each side of the equation.
-70 + 70 + 15x = -2 + 70

Combine like terms: -70 + 70 = 0
0 + 15x = -2 + 70
15x = -2 + 70

Combine like terms: -2 + 70 = 68
15x = 68

Divide each side by '15'.
x = 4.533333333

Simplifying
x = 4.533333333

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