3x+7=4.5x-8

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Solution for 3x+7=4.5x-8 equation:


Simplifying
3x + 7 = 4.5x + -8

Reorder the terms:
7 + 3x = 4.5x + -8

Reorder the terms:
7 + 3x = -8 + 4.5x

Solving
7 + 3x = -8 + 4.5x

Solving for variable 'x'.

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

Add '-4.5x' to each side of the equation.
7 + 3x + -4.5x = -8 + 4.5x + -4.5x

Combine like terms: 3x + -4.5x = -1.5x
7 + -1.5x = -8 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
7 + -1.5x = -8 + 0.0
7 + -1.5x = -8

Add '-7' to each side of the equation.
7 + -7 + -1.5x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -1.5x = -8 + -7
-1.5x = -8 + -7

Combine like terms: -8 + -7 = -15
-1.5x = -15

Divide each side by '-1.5'.
x = 10

Simplifying
x = 10

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