4.5x+20=7x-8

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Solution for 4.5x+20=7x-8 equation:


Simplifying
4.5x + 20 = 7x + -8

Reorder the terms:
20 + 4.5x = 7x + -8

Reorder the terms:
20 + 4.5x = -8 + 7x

Solving
20 + 4.5x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
20 + 4.5x + -7x = -8 + 7x + -7x

Combine like terms: 4.5x + -7x = -2.5x
20 + -2.5x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -2.5x = -8 + 0
20 + -2.5x = -8

Add '-20' to each side of the equation.
20 + -20 + -2.5x = -8 + -20

Combine like terms: 20 + -20 = 0
0 + -2.5x = -8 + -20
-2.5x = -8 + -20

Combine like terms: -8 + -20 = -28
-2.5x = -28

Divide each side by '-2.5'.
x = 11.2

Simplifying
x = 11.2

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