0.9x-1.2(x-1.5)=x+0.75

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Solution for 0.9x-1.2(x-1.5)=x+0.75 equation: 


Simplifying
0.9x + -1.2(x + -1.5) = x + 0.75

Reorder the terms:
0.9x + -1.2(-1.5 + x) = x + 0.75
0.9x + (-1.5 * -1.2 + x * -1.2) = x + 0.75
0.9x + (1.8 + -1.2x) = x + 0.75

Reorder the terms:
1.8 + 0.9x + -1.2x = x + 0.75

Combine like terms: 0.9x + -1.2x = -0.3x
1.8 + -0.3x = x + 0.75

Reorder the terms:
1.8 + -0.3x = 0.75 + x

Solving
1.8 + -0.3x = 0.75 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1.8 + -0.3x + -1x = 0.75 + x + -1x

Combine like terms: -0.3x + -1x = -1.3x
1.8 + -1.3x = 0.75 + x + -1x

Combine like terms: x + -1x = 0
1.8 + -1.3x = 0.75 + 0
1.8 + -1.3x = 0.75

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -1.3x = 0.75 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -1.3x = 0.75 + -1.8
-1.3x = 0.75 + -1.8

Combine like terms: 0.75 + -1.8 = -1.05
-1.3x = -1.05

Divide each side by '-1.3'.
x = 0.8076923077

Simplifying
x = 0.8076923077

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