2.5(x-4)=1.2(3x-2)+6

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Solution for 2.5(x-4)=1.2(3x-2)+6 equation: 


Simplifying
2.5(x + -4) = 1.2(3x + -2) + 6

Reorder the terms:
2.5(-4 + x) = 1.2(3x + -2) + 6
(-4 * 2.5 + x * 2.5) = 1.2(3x + -2) + 6
(-10 + 2.5x) = 1.2(3x + -2) + 6

Reorder the terms:
-10 + 2.5x = 1.2(-2 + 3x) + 6
-10 + 2.5x = (-2 * 1.2 + 3x * 1.2) + 6
-10 + 2.5x = (-2.4 + 3.6x) + 6

Reorder the terms:
-10 + 2.5x = -2.4 + 6 + 3.6x

Combine like terms: -2.4 + 6 = 3.6
-10 + 2.5x = 3.6 + 3.6x

Solving
-10 + 2.5x = 3.6 + 3.6x

Solving for variable 'x'.

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

Add '-3.6x' to each side of the equation.
-10 + 2.5x + -3.6x = 3.6 + 3.6x + -3.6x

Combine like terms: 2.5x + -3.6x = -1.1x
-10 + -1.1x = 3.6 + 3.6x + -3.6x

Combine like terms: 3.6x + -3.6x = 0.0
-10 + -1.1x = 3.6 + 0.0
-10 + -1.1x = 3.6

Add '10' to each side of the equation.
-10 + 10 + -1.1x = 3.6 + 10

Combine like terms: -10 + 10 = 0
0 + -1.1x = 3.6 + 10
-1.1x = 3.6 + 10

Combine like terms: 3.6 + 10 = 13.6
-1.1x = 13.6

Divide each side by '-1.1'.
x = -12.36363636

Simplifying
x = -12.36363636

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