.2x+13+x=-.1(x+40)+4

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Solution for .2x+13+x=-.1(x+40)+4 equation:


Simplifying
0.2x + 13 + x = -0.1(x + 40) + 4

Reorder the terms:
13 + 0.2x + x = -0.1(x + 40) + 4

Combine like terms: 0.2x + x = 1.2x
13 + 1.2x = -0.1(x + 40) + 4

Reorder the terms:
13 + 1.2x = -0.1(40 + x) + 4
13 + 1.2x = (40 * -0.1 + x * -0.1) + 4
13 + 1.2x = (-4 + -0.1x) + 4

Reorder the terms:
13 + 1.2x = -4 + 4 + -0.1x

Combine like terms: -4 + 4 = 0
13 + 1.2x = 0 + -0.1x
13 + 1.2x = -0.1x

Solving
13 + 1.2x = -0.1x

Solving for variable 'x'.

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

Add '0.1x' to each side of the equation.
13 + 1.2x + 0.1x = -0.1x + 0.1x

Combine like terms: 1.2x + 0.1x = 1.3x
13 + 1.3x = -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
13 + 1.3x = 0.0

Add '-13' to each side of the equation.
13 + -13 + 1.3x = 0.0 + -13

Combine like terms: 13 + -13 = 0
0 + 1.3x = 0.0 + -13
1.3x = 0.0 + -13

Combine like terms: 0.0 + -13 = -13
1.3x = -13

Divide each side by '1.3'.
x = -10

Simplifying
x = -10

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