1.5(2x-1)=0.75(x+1)-2

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Solution for 1.5(2x-1)=0.75(x+1)-2 equation:


Simplifying
1.5(2x + -1) = 0.75(x + 1) + -2

Reorder the terms:
1.5(-1 + 2x) = 0.75(x + 1) + -2
(-1 * 1.5 + 2x * 1.5) = 0.75(x + 1) + -2
(-1.5 + 3x) = 0.75(x + 1) + -2

Reorder the terms:
-1.5 + 3x = 0.75(1 + x) + -2
-1.5 + 3x = (1 * 0.75 + x * 0.75) + -2
-1.5 + 3x = (0.75 + 0.75x) + -2

Reorder the terms:
-1.5 + 3x = 0.75 + -2 + 0.75x

Combine like terms: 0.75 + -2 = -1.25
-1.5 + 3x = -1.25 + 0.75x

Solving
-1.5 + 3x = -1.25 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
-1.5 + 3x + -0.75x = -1.25 + 0.75x + -0.75x

Combine like terms: 3x + -0.75x = 2.25x
-1.5 + 2.25x = -1.25 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
-1.5 + 2.25x = -1.25 + 0.00
-1.5 + 2.25x = -1.25

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 2.25x = -1.25 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 2.25x = -1.25 + 1.5
2.25x = -1.25 + 1.5

Combine like terms: -1.25 + 1.5 = 0.25
2.25x = 0.25

Divide each side by '2.25'.
x = 0.1111111111

Simplifying
x = 0.1111111111

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