0.7(6x-2)=x+1

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Solution for 0.7(6x-2)=x+1 equation: 


Simplifying
0.7(6x + -2) = x + 1

Reorder the terms:
0.7(-2 + 6x) = x + 1
(-2 * 0.7 + 6x * 0.7) = x + 1
(-1.4 + 4.2x) = x + 1

Reorder the terms:
-1.4 + 4.2x = 1 + x

Solving
-1.4 + 4.2x = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1.4 + 4.2x + -1x = 1 + x + -1x

Combine like terms: 4.2x + -1x = 3.2x
-1.4 + 3.2x = 1 + x + -1x

Combine like terms: x + -1x = 0
-1.4 + 3.2x = 1 + 0
-1.4 + 3.2x = 1

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 3.2x = 1 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 3.2x = 1 + 1.4
3.2x = 1 + 1.4

Combine like terms: 1 + 1.4 = 2.4
3.2x = 2.4

Divide each side by '3.2'.
x = 0.75

Simplifying
x = 0.75

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