1.5(4x+3)=8x-9.5

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Solution for 1.5(4x+3)=8x-9.5 equation:


Simplifying
1.5(4x + 3) = 8x + -9.5

Reorder the terms:
1.5(3 + 4x) = 8x + -9.5
(3 * 1.5 + 4x * 1.5) = 8x + -9.5
(4.5 + 6x) = 8x + -9.5

Reorder the terms:
4.5 + 6x = -9.5 + 8x

Solving
4.5 + 6x = -9.5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4.5 + 6x + -8x = -9.5 + 8x + -8x

Combine like terms: 6x + -8x = -2x
4.5 + -2x = -9.5 + 8x + -8x

Combine like terms: 8x + -8x = 0
4.5 + -2x = -9.5 + 0
4.5 + -2x = -9.5

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -2x = -9.5 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -2x = -9.5 + -4.5
-2x = -9.5 + -4.5

Combine like terms: -9.5 + -4.5 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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