0.2(x+3)=4x-2(2-x)-7

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Solution for 0.2(x+3)=4x-2(2-x)-7 equation: 


Simplifying
0.2(x + 3) = 4x + -2(2 + -1x) + -7

Reorder the terms:
0.2(3 + x) = 4x + -2(2 + -1x) + -7
(3 * 0.2 + x * 0.2) = 4x + -2(2 + -1x) + -7
(0.6 + 0.2x) = 4x + -2(2 + -1x) + -7
0.6 + 0.2x = 4x + (2 * -2 + -1x * -2) + -7
0.6 + 0.2x = 4x + (-4 + 2x) + -7

Reorder the terms:
0.6 + 0.2x = -4 + -7 + 4x + 2x

Combine like terms: -4 + -7 = -11
0.6 + 0.2x = -11 + 4x + 2x

Combine like terms: 4x + 2x = 6x
0.6 + 0.2x = -11 + 6x

Solving
0.6 + 0.2x = -11 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
0.6 + 0.2x + -6x = -11 + 6x + -6x

Combine like terms: 0.2x + -6x = -5.8x
0.6 + -5.8x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
0.6 + -5.8x = -11 + 0
0.6 + -5.8x = -11

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -5.8x = -11 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -5.8x = -11 + -0.6
-5.8x = -11 + -0.6

Combine like terms: -11 + -0.6 = -11.6
-5.8x = -11.6

Divide each side by '-5.8'.
x = 2

Simplifying
x = 2

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