4x-8=1.5x+1

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Solution for 4x-8=1.5x+1 equation:


Simplifying
4x + -8 = 1.5x + 1

Reorder the terms:
-8 + 4x = 1.5x + 1

Reorder the terms:
-8 + 4x = 1 + 1.5x

Solving
-8 + 4x = 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.
-8 + 4x + -1.5x = 1 + 1.5x + -1.5x

Combine like terms: 4x + -1.5x = 2.5x
-8 + 2.5x = 1 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-8 + 2.5x = 1 + 0.0
-8 + 2.5x = 1

Add '8' to each side of the equation.
-8 + 8 + 2.5x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 2.5x = 1 + 8
2.5x = 1 + 8

Combine like terms: 1 + 8 = 9
2.5x = 9

Divide each side by '2.5'.
x = 3.6

Simplifying
x = 3.6

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