2.5+15+0.5(x-4)=3x+13

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Solution for 2.5+15+0.5(x-4)=3x+13 equation:


Simplifying
2.5 + 15 + 0.5(x + -4) = 3x + 13

Reorder the terms:
2.5 + 15 + 0.5(-4 + x) = 3x + 13
2.5 + 15 + (-4 * 0.5 + x * 0.5) = 3x + 13
2.5 + 15 + (-2 + 0.5x) = 3x + 13

Combine like terms: 2.5 + 15 = 17.5
17.5 + -2 + 0.5x = 3x + 13

Combine like terms: 17.5 + -2 = 15.5
15.5 + 0.5x = 3x + 13

Reorder the terms:
15.5 + 0.5x = 13 + 3x

Solving
15.5 + 0.5x = 13 + 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.
15.5 + 0.5x + -3x = 13 + 3x + -3x

Combine like terms: 0.5x + -3x = -2.5x
15.5 + -2.5x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
15.5 + -2.5x = 13 + 0
15.5 + -2.5x = 13

Add '-15.5' to each side of the equation.
15.5 + -15.5 + -2.5x = 13 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + -2.5x = 13 + -15.5
-2.5x = 13 + -15.5

Combine like terms: 13 + -15.5 = -2.5
-2.5x = -2.5

Divide each side by '-2.5'.
x = 1

Simplifying
x = 1

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