0.5x+0.9-0.1(2x-3)=0.2x-0.7

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Solution for 0.5x+0.9-0.1(2x-3)=0.2x-0.7 equation:


Simplifying
0.5x + 0.9 + -0.1(2x + -3) = 0.2x + -0.7

Reorder the terms:
0.5x + 0.9 + -0.1(-3 + 2x) = 0.2x + -0.7
0.5x + 0.9 + (-3 * -0.1 + 2x * -0.1) = 0.2x + -0.7
0.5x + 0.9 + (0.3 + -0.2x) = 0.2x + -0.7

Reorder the terms:
0.9 + 0.3 + 0.5x + -0.2x = 0.2x + -0.7

Combine like terms: 0.9 + 0.3 = 1.2
1.2 + 0.5x + -0.2x = 0.2x + -0.7

Combine like terms: 0.5x + -0.2x = 0.3x
1.2 + 0.3x = 0.2x + -0.7

Reorder the terms:
1.2 + 0.3x = -0.7 + 0.2x

Solving
1.2 + 0.3x = -0.7 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
1.2 + 0.3x + -0.2x = -0.7 + 0.2x + -0.2x

Combine like terms: 0.3x + -0.2x = 0.1x
1.2 + 0.1x = -0.7 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
1.2 + 0.1x = -0.7 + 0.0
1.2 + 0.1x = -0.7

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.1x = -0.7 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.1x = -0.7 + -1.2
0.1x = -0.7 + -1.2

Combine like terms: -0.7 + -1.2 = -1.9
0.1x = -1.9

Divide each side by '0.1'.
x = -19

Simplifying
x = -19

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