.2(7x-6)=.25(6x-8)

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Solution for .2(7x-6)=.25(6x-8) equation: 


Simplifying
0.2(7x + -6) = 0.25(6x + -8)

Reorder the terms:
0.2(-6 + 7x) = 0.25(6x + -8)
(-6 * 0.2 + 7x * 0.2) = 0.25(6x + -8)
(-1.2 + 1.4x) = 0.25(6x + -8)

Reorder the terms:
-1.2 + 1.4x = 0.25(-8 + 6x)
-1.2 + 1.4x = (-8 * 0.25 + 6x * 0.25)
-1.2 + 1.4x = (-2 + 1.5x)

Solving
-1.2 + 1.4x = -2 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-1.2 + 1.4x + -1.5x = -2 + 1.5x + -1.5x

Combine like terms: 1.4x + -1.5x = -0.1x
-1.2 + -0.1x = -2 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-1.2 + -0.1x = -2 + 0.0
-1.2 + -0.1x = -2

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.1x = -2 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.1x = -2 + 1.2
-0.1x = -2 + 1.2

Combine like terms: -2 + 1.2 = -0.8
-0.1x = -0.8

Divide each side by '-0.1'.
x = 8

Simplifying
x = 8

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