4x-29.2=7.5x-6.8

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Solution for 4x-29.2=7.5x-6.8 equation: 


Simplifying
4x + -29.2 = 7.5x + -6.8

Reorder the terms:
-29.2 + 4x = 7.5x + -6.8

Reorder the terms:
-29.2 + 4x = -6.8 + 7.5x

Solving
-29.2 + 4x = -6.8 + 7.5x

Solving for variable 'x'.

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

Add '-7.5x' to each side of the equation.
-29.2 + 4x + -7.5x = -6.8 + 7.5x + -7.5x

Combine like terms: 4x + -7.5x = -3.5x
-29.2 + -3.5x = -6.8 + 7.5x + -7.5x

Combine like terms: 7.5x + -7.5x = 0.0
-29.2 + -3.5x = -6.8 + 0.0
-29.2 + -3.5x = -6.8

Add '29.2' to each side of the equation.
-29.2 + 29.2 + -3.5x = -6.8 + 29.2

Combine like terms: -29.2 + 29.2 = 0.0
0.0 + -3.5x = -6.8 + 29.2
-3.5x = -6.8 + 29.2

Combine like terms: -6.8 + 29.2 = 22.4
-3.5x = 22.4

Divide each side by '-3.5'.
x = -6.4

Simplifying
x = -6.4

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