9x+5*(2-x)=3x-(x-15)

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Solution for 9x+5*(2-x)=3x-(x-15) equation:


Simplifying
9x + 5(2 + -1x) = 3x + -1(x + -15)
9x + (2 * 5 + -1x * 5) = 3x + -1(x + -15)
9x + (10 + -5x) = 3x + -1(x + -15)

Reorder the terms:
10 + 9x + -5x = 3x + -1(x + -15)

Combine like terms: 9x + -5x = 4x
10 + 4x = 3x + -1(x + -15)

Reorder the terms:
10 + 4x = 3x + -1(-15 + x)
10 + 4x = 3x + (-15 * -1 + x * -1)
10 + 4x = 3x + (15 + -1x)

Reorder the terms:
10 + 4x = 15 + 3x + -1x

Combine like terms: 3x + -1x = 2x
10 + 4x = 15 + 2x

Solving
10 + 4x = 15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 4x + -2x = 15 + 2x + -2x

Combine like terms: 4x + -2x = 2x
10 + 2x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 2x = 15 + 0
10 + 2x = 15

Add '-10' to each side of the equation.
10 + -10 + 2x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 15 + -10
2x = 15 + -10

Combine like terms: 15 + -10 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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