0.5(2x+7)-0.3(3x-8)=0.9x-0.2(3x-5)+1.3

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Solution for 0.5(2x+7)-0.3(3x-8)=0.9x-0.2(3x-5)+1.3 equation: 


Simplifying
0.5(2x + 7) + -0.3(3x + -8) = 0.9x + -0.2(3x + -5) + 1.3

Reorder the terms:
0.5(7 + 2x) + -0.3(3x + -8) = 0.9x + -0.2(3x + -5) + 1.3
(7 * 0.5 + 2x * 0.5) + -0.3(3x + -8) = 0.9x + -0.2(3x + -5) + 1.3
(3.5 + 1x) + -0.3(3x + -8) = 0.9x + -0.2(3x + -5) + 1.3

Reorder the terms:
3.5 + 1x + -0.3(-8 + 3x) = 0.9x + -0.2(3x + -5) + 1.3
3.5 + 1x + (-8 * -0.3 + 3x * -0.3) = 0.9x + -0.2(3x + -5) + 1.3
3.5 + 1x + (2.4 + -0.9x) = 0.9x + -0.2(3x + -5) + 1.3

Reorder the terms:
3.5 + 2.4 + 1x + -0.9x = 0.9x + -0.2(3x + -5) + 1.3

Combine like terms: 3.5 + 2.4 = 5.9
5.9 + 1x + -0.9x = 0.9x + -0.2(3x + -5) + 1.3

Combine like terms: 1x + -0.9x = 0.1x
5.9 + 0.1x = 0.9x + -0.2(3x + -5) + 1.3

Reorder the terms:
5.9 + 0.1x = 0.9x + -0.2(-5 + 3x) + 1.3
5.9 + 0.1x = 0.9x + (-5 * -0.2 + 3x * -0.2) + 1.3
5.9 + 0.1x = 0.9x + (1 + -0.6x) + 1.3

Reorder the terms:
5.9 + 0.1x = 1 + 1.3 + 0.9x + -0.6x

Combine like terms: 1 + 1.3 = 2.3
5.9 + 0.1x = 2.3 + 0.9x + -0.6x

Combine like terms: 0.9x + -0.6x = 0.3x
5.9 + 0.1x = 2.3 + 0.3x

Solving
5.9 + 0.1x = 2.3 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
5.9 + 0.1x + -0.3x = 2.3 + 0.3x + -0.3x

Combine like terms: 0.1x + -0.3x = -0.2x
5.9 + -0.2x = 2.3 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
5.9 + -0.2x = 2.3 + 0.0
5.9 + -0.2x = 2.3

Add '-5.9' to each side of the equation.
5.9 + -5.9 + -0.2x = 2.3 + -5.9

Combine like terms: 5.9 + -5.9 = 0.0
0.0 + -0.2x = 2.3 + -5.9
-0.2x = 2.3 + -5.9

Combine like terms: 2.3 + -5.9 = -3.6
-0.2x = -3.6

Divide each side by '-0.2'.
x = 18

Simplifying
x = 18

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