0.6x-0.8=0.8(2x-1)-0.7

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Solution for 0.6x-0.8=0.8(2x-1)-0.7 equation: 


Simplifying
0.6x + -0.8 = 0.8(2x + -1) + -0.7

Reorder the terms:
-0.8 + 0.6x = 0.8(2x + -1) + -0.7

Reorder the terms:
-0.8 + 0.6x = 0.8(-1 + 2x) + -0.7
-0.8 + 0.6x = (-1 * 0.8 + 2x * 0.8) + -0.7
-0.8 + 0.6x = (-0.8 + 1.6x) + -0.7

Reorder the terms:
-0.8 + 0.6x = -0.8 + -0.7 + 1.6x

Combine like terms: -0.8 + -0.7 = -1.5
-0.8 + 0.6x = -1.5 + 1.6x

Solving
-0.8 + 0.6x = -1.5 + 1.6x

Solving for variable 'x'.

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

Add '-1.6x' to each side of the equation.
-0.8 + 0.6x + -1.6x = -1.5 + 1.6x + -1.6x

Combine like terms: 0.6x + -1.6x = -1x
-0.8 + -1x = -1.5 + 1.6x + -1.6x

Combine like terms: 1.6x + -1.6x = 0.0
-0.8 + -1x = -1.5 + 0.0
-0.8 + -1x = -1.5

Add '0.8' to each side of the equation.
-0.8 + 0.8 + -1x = -1.5 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + -1x = -1.5 + 0.8
-1x = -1.5 + 0.8

Combine like terms: -1.5 + 0.8 = -0.7
-1x = -0.7

Divide each side by '-1'.
x = 0.7

Simplifying
x = 0.7

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