.33(3x-12)+11=1+1.5x

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Solution for .33(3x-12)+11=1+1.5x equation: 


Simplifying
0.33(3x + -12) + 11 = 1 + 1.5x

Reorder the terms:
0.33(-12 + 3x) + 11 = 1 + 1.5x
(-12 * 0.33 + 3x * 0.33) + 11 = 1 + 1.5x
(-3.96 + 0.99x) + 11 = 1 + 1.5x

Reorder the terms:
-3.96 + 11 + 0.99x = 1 + 1.5x

Combine like terms: -3.96 + 11 = 7.04
7.04 + 0.99x = 1 + 1.5x

Solving
7.04 + 0.99x = 1 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
7.04 + 0.99x + -1.5x = 1 + 1.5x + -1.5x

Combine like terms: 0.99x + -1.5x = -0.51x
7.04 + -0.51x = 1 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
7.04 + -0.51x = 1 + 0.0
7.04 + -0.51x = 1

Add '-7.04' to each side of the equation.
7.04 + -7.04 + -0.51x = 1 + -7.04

Combine like terms: 7.04 + -7.04 = 0.00
0.00 + -0.51x = 1 + -7.04
-0.51x = 1 + -7.04

Combine like terms: 1 + -7.04 = -6.04
-0.51x = -6.04

Divide each side by '-0.51'.
x = 11.84313725

Simplifying
x = 11.84313725

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