0.6(x-12)=-(2x-1)+7

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Solution for 0.6(x-12)=-(2x-1)+7 equation: 


Simplifying
0.6(x + -12) = -1(2x + -1) + 7

Reorder the terms:
0.6(-12 + x) = -1(2x + -1) + 7
(-12 * 0.6 + x * 0.6) = -1(2x + -1) + 7
(-7.2 + 0.6x) = -1(2x + -1) + 7

Reorder the terms:
-7.2 + 0.6x = -1(-1 + 2x) + 7
-7.2 + 0.6x = (-1 * -1 + 2x * -1) + 7
-7.2 + 0.6x = (1 + -2x) + 7

Reorder the terms:
-7.2 + 0.6x = 1 + 7 + -2x

Combine like terms: 1 + 7 = 8
-7.2 + 0.6x = 8 + -2x

Solving
-7.2 + 0.6x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-7.2 + 0.6x + 2x = 8 + -2x + 2x

Combine like terms: 0.6x + 2x = 2.6x
-7.2 + 2.6x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7.2 + 2.6x = 8 + 0
-7.2 + 2.6x = 8

Add '7.2' to each side of the equation.
-7.2 + 7.2 + 2.6x = 8 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + 2.6x = 8 + 7.2
2.6x = 8 + 7.2

Combine like terms: 8 + 7.2 = 15.2
2.6x = 15.2

Divide each side by '2.6'.
x = 5.846153846

Simplifying
x = 5.846153846

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