2.5+15+0.5(x-4)=12x+2.0(0.9-6)

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Solution for 2.5+15+0.5(x-4)=12x+2.0(0.9-6) equation:


Simplifying
2.5 + 15 + 0.5(x + -4) = 12x + 2.0(0.9 + -6)

Reorder the terms:
2.5 + 15 + 0.5(-4 + x) = 12x + 2.0(0.9 + -6)
2.5 + 15 + (-4 * 0.5 + x * 0.5) = 12x + 2.0(0.9 + -6)
2.5 + 15 + (-2 + 0.5x) = 12x + 2.0(0.9 + -6)

Combine like terms: 2.5 + 15 = 17.5
17.5 + -2 + 0.5x = 12x + 2.0(0.9 + -6)

Combine like terms: 17.5 + -2 = 15.5
15.5 + 0.5x = 12x + 2.0(0.9 + -6)

Combine like terms: 0.9 + -6 = -5.1
15.5 + 0.5x = 12x + 2.0(-5.1)

Multiply 2.0 * -5.1
15.5 + 0.5x = 12x + -10.2

Reorder the terms:
15.5 + 0.5x = -10.2 + 12x

Solving
15.5 + 0.5x = -10.2 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
15.5 + 0.5x + -12x = -10.2 + 12x + -12x

Combine like terms: 0.5x + -12x = -11.5x
15.5 + -11.5x = -10.2 + 12x + -12x

Combine like terms: 12x + -12x = 0
15.5 + -11.5x = -10.2 + 0
15.5 + -11.5x = -10.2

Add '-15.5' to each side of the equation.
15.5 + -15.5 + -11.5x = -10.2 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + -11.5x = -10.2 + -15.5
-11.5x = -10.2 + -15.5

Combine like terms: -10.2 + -15.5 = -25.7
-11.5x = -25.7

Divide each side by '-11.5'.
x = 2.234782609

Simplifying
x = 2.234782609

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