3(3x-4)=x(32)-22

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Solution for 3(3x-4)=x(32)-22 equation:


Simplifying
3(3x + -4) = x(32) + -22

Reorder the terms:
3(-4 + 3x) = x(32) + -22
(-4 * 3 + 3x * 3) = x(32) + -22
(-12 + 9x) = x(32) + -22

Reorder the terms for easier multiplication:
-12 + 9x = 32x + -22

Reorder the terms:
-12 + 9x = -22 + 32x

Solving
-12 + 9x = -22 + 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.
-12 + 9x + -32x = -22 + 32x + -32x

Combine like terms: 9x + -32x = -23x
-12 + -23x = -22 + 32x + -32x

Combine like terms: 32x + -32x = 0
-12 + -23x = -22 + 0
-12 + -23x = -22

Add '12' to each side of the equation.
-12 + 12 + -23x = -22 + 12

Combine like terms: -12 + 12 = 0
0 + -23x = -22 + 12
-23x = -22 + 12

Combine like terms: -22 + 12 = -10
-23x = -10

Divide each side by '-23'.
x = 0.4347826087

Simplifying
x = 0.4347826087

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