0.3(3x-12)+11=1+1.5x

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Solution for 0.3(3x-12)+11=1+1.5x equation: 


Simplifying
0.3(3x + -12) + 11 = 1 + 1.5x

Reorder the terms:
0.3(-12 + 3x) + 11 = 1 + 1.5x
(-12 * 0.3 + 3x * 0.3) + 11 = 1 + 1.5x
(-3.6 + 0.9x) + 11 = 1 + 1.5x

Reorder the terms:
-3.6 + 11 + 0.9x = 1 + 1.5x

Combine like terms: -3.6 + 11 = 7.4
7.4 + 0.9x = 1 + 1.5x

Solving
7.4 + 0.9x = 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.
7.4 + 0.9x + -1.5x = 1 + 1.5x + -1.5x

Combine like terms: 0.9x + -1.5x = -0.6x
7.4 + -0.6x = 1 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
7.4 + -0.6x = 1 + 0.0
7.4 + -0.6x = 1

Add '-7.4' to each side of the equation.
7.4 + -7.4 + -0.6x = 1 + -7.4

Combine like terms: 7.4 + -7.4 = 0.0
0.0 + -0.6x = 1 + -7.4
-0.6x = 1 + -7.4

Combine like terms: 1 + -7.4 = -6.4
-0.6x = -6.4

Divide each side by '-0.6'.
x = 10.66666667

Simplifying
x = 10.66666667

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