.2(x+3)=4x-5(2-x)-7

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Solution for .2(x+3)=4x-5(2-x)-7 equation:


Simplifying
0.2(x + 3) = 4x + -5(2 + -1x) + -7

Reorder the terms:
0.2(3 + x) = 4x + -5(2 + -1x) + -7
(3 * 0.2 + x * 0.2) = 4x + -5(2 + -1x) + -7
(0.6 + 0.2x) = 4x + -5(2 + -1x) + -7
0.6 + 0.2x = 4x + (2 * -5 + -1x * -5) + -7
0.6 + 0.2x = 4x + (-10 + 5x) + -7

Reorder the terms:
0.6 + 0.2x = -10 + -7 + 4x + 5x

Combine like terms: -10 + -7 = -17
0.6 + 0.2x = -17 + 4x + 5x

Combine like terms: 4x + 5x = 9x
0.6 + 0.2x = -17 + 9x

Solving
0.6 + 0.2x = -17 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
0.6 + 0.2x + -9x = -17 + 9x + -9x

Combine like terms: 0.2x + -9x = -8.8x
0.6 + -8.8x = -17 + 9x + -9x

Combine like terms: 9x + -9x = 0
0.6 + -8.8x = -17 + 0
0.6 + -8.8x = -17

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -8.8x = -17 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -8.8x = -17 + -0.6
-8.8x = -17 + -0.6

Combine like terms: -17 + -0.6 = -17.6
-8.8x = -17.6

Divide each side by '-8.8'.
x = 2

Simplifying
x = 2

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