3(x-10)-11=32x-302

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Solution for 3(x-10)-11=32x-302 equation:


Simplifying
3(x + -10) + -11 = 32x + -302

Reorder the terms:
3(-10 + x) + -11 = 32x + -302
(-10 * 3 + x * 3) + -11 = 32x + -302
(-30 + 3x) + -11 = 32x + -302

Reorder the terms:
-30 + -11 + 3x = 32x + -302

Combine like terms: -30 + -11 = -41
-41 + 3x = 32x + -302

Reorder the terms:
-41 + 3x = -302 + 32x

Solving
-41 + 3x = -302 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-41 + 3x + -32x = -302 + 32x + -32x

Combine like terms: 3x + -32x = -29x
-41 + -29x = -302 + 32x + -32x

Combine like terms: 32x + -32x = 0
-41 + -29x = -302 + 0
-41 + -29x = -302

Add '41' to each side of the equation.
-41 + 41 + -29x = -302 + 41

Combine like terms: -41 + 41 = 0
0 + -29x = -302 + 41
-29x = -302 + 41

Combine like terms: -302 + 41 = -261
-29x = -261

Divide each side by '-29'.
x = 9

Simplifying
x = 9

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