x+7+.33*x=1.5*x-2

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Solution for x+7+.33*x=1.5*x-2 equation:


Simplifying
x + 7 + 0.33x = 1.5x + -2

Reorder the terms:
7 + x + 0.33x = 1.5x + -2

Combine like terms: x + 0.33x = 1.33x
7 + 1.33x = 1.5x + -2

Reorder the terms:
7 + 1.33x = -2 + 1.5x

Solving
7 + 1.33x = -2 + 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 + 1.33x + -1.5x = -2 + 1.5x + -1.5x

Combine like terms: 1.33x + -1.5x = -0.17x
7 + -0.17x = -2 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
7 + -0.17x = -2 + 0.0
7 + -0.17x = -2

Add '-7' to each side of the equation.
7 + -7 + -0.17x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -0.17x = -2 + -7
-0.17x = -2 + -7

Combine like terms: -2 + -7 = -9
-0.17x = -9

Divide each side by '-0.17'.
x = 52.94117647

Simplifying
x = 52.94117647

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