0.2(x+3)-(x-1.5)=0.3(x+2)-2.9

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Solution for 0.2(x+3)-(x-1.5)=0.3(x+2)-2.9 equation: 


Simplifying
0.2(x + 3) + -1(x + -1.5) = 0.3(x + 2) + -2.9

Reorder the terms:
0.2(3 + x) + -1(x + -1.5) = 0.3(x + 2) + -2.9
(3 * 0.2 + x * 0.2) + -1(x + -1.5) = 0.3(x + 2) + -2.9
(0.6 + 0.2x) + -1(x + -1.5) = 0.3(x + 2) + -2.9

Reorder the terms:
0.6 + 0.2x + -1(-1.5 + x) = 0.3(x + 2) + -2.9
0.6 + 0.2x + (-1.5 * -1 + x * -1) = 0.3(x + 2) + -2.9
0.6 + 0.2x + (1.5 + -1x) = 0.3(x + 2) + -2.9

Reorder the terms:
0.6 + 1.5 + 0.2x + -1x = 0.3(x + 2) + -2.9

Combine like terms: 0.6 + 1.5 = 2.1
2.1 + 0.2x + -1x = 0.3(x + 2) + -2.9

Combine like terms: 0.2x + -1x = -0.8x
2.1 + -0.8x = 0.3(x + 2) + -2.9

Reorder the terms:
2.1 + -0.8x = 0.3(2 + x) + -2.9
2.1 + -0.8x = (2 * 0.3 + x * 0.3) + -2.9
2.1 + -0.8x = (0.6 + 0.3x) + -2.9

Reorder the terms:
2.1 + -0.8x = 0.6 + -2.9 + 0.3x

Combine like terms: 0.6 + -2.9 = -2.3
2.1 + -0.8x = -2.3 + 0.3x

Solving
2.1 + -0.8x = -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.
2.1 + -0.8x + -0.3x = -2.3 + 0.3x + -0.3x

Combine like terms: -0.8x + -0.3x = -1.1x
2.1 + -1.1x = -2.3 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
2.1 + -1.1x = -2.3 + 0.0
2.1 + -1.1x = -2.3

Add '-2.1' to each side of the equation.
2.1 + -2.1 + -1.1x = -2.3 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -1.1x = -2.3 + -2.1
-1.1x = -2.3 + -2.1

Combine like terms: -2.3 + -2.1 = -4.4
-1.1x = -4.4

Divide each side by '-1.1'.
x = 4

Simplifying
x = 4

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