.25(x+2)-.15(x+3)=4

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Solution for .25(x+2)-.15(x+3)=4 equation: 


Simplifying
0.25(x + 2) + -0.15(x + 3) = 4

Reorder the terms:
0.25(2 + x) + -0.15(x + 3) = 4
(2 * 0.25 + x * 0.25) + -0.15(x + 3) = 4
(0.5 + 0.25x) + -0.15(x + 3) = 4

Reorder the terms:
0.5 + 0.25x + -0.15(3 + x) = 4
0.5 + 0.25x + (3 * -0.15 + x * -0.15) = 4
0.5 + 0.25x + (-0.45 + -0.15x) = 4

Reorder the terms:
0.5 + -0.45 + 0.25x + -0.15x = 4

Combine like terms: 0.5 + -0.45 = 0.05
0.05 + 0.25x + -0.15x = 4

Combine like terms: 0.25x + -0.15x = 0.1x
0.05 + 0.1x = 4

Solving
0.05 + 0.1x = 4

Solving for variable 'x'.

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

Add '-0.05' to each side of the equation.
0.05 + -0.05 + 0.1x = 4 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + 0.1x = 4 + -0.05
0.1x = 4 + -0.05

Combine like terms: 4 + -0.05 = 3.95
0.1x = 3.95

Divide each side by '0.1'.
x = 39.5

Simplifying
x = 39.5

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