0.2(x-4)+3.6=2.6x-8

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Solution for 0.2(x-4)+3.6=2.6x-8 equation: 


Simplifying
0.2(x + -4) + 3.6 = 2.6x + -8

Reorder the terms:
0.2(-4 + x) + 3.6 = 2.6x + -8
(-4 * 0.2 + x * 0.2) + 3.6 = 2.6x + -8
(-0.8 + 0.2x) + 3.6 = 2.6x + -8

Reorder the terms:
-0.8 + 3.6 + 0.2x = 2.6x + -8

Combine like terms: -0.8 + 3.6 = 2.8
2.8 + 0.2x = 2.6x + -8

Reorder the terms:
2.8 + 0.2x = -8 + 2.6x

Solving
2.8 + 0.2x = -8 + 2.6x

Solving for variable 'x'.

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

Add '-2.6x' to each side of the equation.
2.8 + 0.2x + -2.6x = -8 + 2.6x + -2.6x

Combine like terms: 0.2x + -2.6x = -2.4x
2.8 + -2.4x = -8 + 2.6x + -2.6x

Combine like terms: 2.6x + -2.6x = 0.0
2.8 + -2.4x = -8 + 0.0
2.8 + -2.4x = -8

Add '-2.8' to each side of the equation.
2.8 + -2.8 + -2.4x = -8 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -2.4x = -8 + -2.8
-2.4x = -8 + -2.8

Combine like terms: -8 + -2.8 = -10.8
-2.4x = -10.8

Divide each side by '-2.4'.
x = 4.5

Simplifying
x = 4.5

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