0.15(x+2)+0.3=0.35x-0.4

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Solution for 0.15(x+2)+0.3=0.35x-0.4 equation:


Simplifying
0.15(x + 2) + 0.3 = 0.35x + -0.4

Reorder the terms:
0.15(2 + x) + 0.3 = 0.35x + -0.4
(2 * 0.15 + x * 0.15) + 0.3 = 0.35x + -0.4
(0.3 + 0.15x) + 0.3 = 0.35x + -0.4

Reorder the terms:
0.3 + 0.3 + 0.15x = 0.35x + -0.4

Combine like terms: 0.3 + 0.3 = 0.6
0.6 + 0.15x = 0.35x + -0.4

Reorder the terms:
0.6 + 0.15x = -0.4 + 0.35x

Solving
0.6 + 0.15x = -0.4 + 0.35x

Solving for variable 'x'.

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

Add '-0.35x' to each side of the equation.
0.6 + 0.15x + -0.35x = -0.4 + 0.35x + -0.35x

Combine like terms: 0.15x + -0.35x = -0.2x
0.6 + -0.2x = -0.4 + 0.35x + -0.35x

Combine like terms: 0.35x + -0.35x = 0.00
0.6 + -0.2x = -0.4 + 0.00
0.6 + -0.2x = -0.4

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.2x = -0.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.2x = -0.4 + -0.6
-0.2x = -0.4 + -0.6

Combine like terms: -0.4 + -0.6 = -1
-0.2x = -1

Divide each side by '-0.2'.
x = 5

Simplifying
x = 5

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