1.3+5(x-0.1)=-1.2-3x

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Solution for 1.3+5(x-0.1)=-1.2-3x equation: 


Simplifying
1.3 + 5(x + -0.1) = -1.2 + -3x

Reorder the terms:
1.3 + 5(-0.1 + x) = -1.2 + -3x
1.3 + (-0.1 * 5 + x * 5) = -1.2 + -3x
1.3 + (-0.5 + 5x) = -1.2 + -3x

Combine like terms: 1.3 + -0.5 = 0.8
0.8 + 5x = -1.2 + -3x

Solving
0.8 + 5x = -1.2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
0.8 + 5x + 3x = -1.2 + -3x + 3x

Combine like terms: 5x + 3x = 8x
0.8 + 8x = -1.2 + -3x + 3x

Combine like terms: -3x + 3x = 0
0.8 + 8x = -1.2 + 0
0.8 + 8x = -1.2

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 8x = -1.2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 8x = -1.2 + -0.8
8x = -1.2 + -0.8

Combine like terms: -1.2 + -0.8 = -2
8x = -2

Divide each side by '8'.
x = -0.25

Simplifying
x = -0.25

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