0.75(2x+3)-3.5=0.8(1-x)

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Solution for 0.75(2x+3)-3.5=0.8(1-x) equation: 


Simplifying
0.75(2x + 3) + -3.5 = 0.8(1 + -1x)

Reorder the terms:
0.75(3 + 2x) + -3.5 = 0.8(1 + -1x)
(3 * 0.75 + 2x * 0.75) + -3.5 = 0.8(1 + -1x)
(2.25 + 1.5x) + -3.5 = 0.8(1 + -1x)

Reorder the terms:
2.25 + -3.5 + 1.5x = 0.8(1 + -1x)

Combine like terms: 2.25 + -3.5 = -1.25
-1.25 + 1.5x = 0.8(1 + -1x)
-1.25 + 1.5x = (1 * 0.8 + -1x * 0.8)
-1.25 + 1.5x = (0.8 + -0.8x)

Solving
-1.25 + 1.5x = 0.8 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-1.25 + 1.5x + 0.8x = 0.8 + -0.8x + 0.8x

Combine like terms: 1.5x + 0.8x = 2.3x
-1.25 + 2.3x = 0.8 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-1.25 + 2.3x = 0.8 + 0.0
-1.25 + 2.3x = 0.8

Add '1.25' to each side of the equation.
-1.25 + 1.25 + 2.3x = 0.8 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + 2.3x = 0.8 + 1.25
2.3x = 0.8 + 1.25

Combine like terms: 0.8 + 1.25 = 2.05
2.3x = 2.05

Divide each side by '2.3'.
x = 0.8913043478

Simplifying
x = 0.8913043478

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