7x-6=4.5x+8

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Solution for 7x-6=4.5x+8 equation:


Simplifying
7x + -6 = 4.5x + 8

Reorder the terms:
-6 + 7x = 4.5x + 8

Reorder the terms:
-6 + 7x = 8 + 4.5x

Solving
-6 + 7x = 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.
-6 + 7x + -4.5x = 8 + 4.5x + -4.5x

Combine like terms: 7x + -4.5x = 2.5x
-6 + 2.5x = 8 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
-6 + 2.5x = 8 + 0.0
-6 + 2.5x = 8

Add '6' to each side of the equation.
-6 + 6 + 2.5x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 2.5x = 8 + 6
2.5x = 8 + 6

Combine like terms: 8 + 6 = 14
2.5x = 14

Divide each side by '2.5'.
x = 5.6

Simplifying
x = 5.6

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