0.5(2x-1)+X+17=5x-1(3x+2)

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Solution for 0.5(2x-1)+X+17=5x-1(3x+2) equation:


Simplifying
0.5(2x + -1) + X + 17 = 5x + -1(3x + 2)

Reorder the terms:
0.5(-1 + 2x) + X + 17 = 5x + -1(3x + 2)
(-1 * 0.5 + 2x * 0.5) + X + 17 = 5x + -1(3x + 2)
(-0.5 + 1x) + X + 17 = 5x + -1(3x + 2)

Reorder the terms:
-0.5 + 17 + X + 1x = 5x + -1(3x + 2)

Combine like terms: -0.5 + 17 = 16.5
16.5 + X + 1x = 5x + -1(3x + 2)

Reorder the terms:
16.5 + X + 1x = 5x + -1(2 + 3x)
16.5 + X + 1x = 5x + (2 * -1 + 3x * -1)
16.5 + X + 1x = 5x + (-2 + -3x)

Reorder the terms:
16.5 + X + 1x = -2 + 5x + -3x

Combine like terms: 5x + -3x = 2x
16.5 + X + 1x = -2 + 2x

Solving
16.5 + X + 1x = -2 + 2x

Solving for variable 'X'.

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

Add '-16.5' to each side of the equation.
16.5 + X + -16.5 + 1x = -2 + -16.5 + 2x

Reorder the terms:
16.5 + -16.5 + X + 1x = -2 + -16.5 + 2x

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + X + 1x = -2 + -16.5 + 2x
X + 1x = -2 + -16.5 + 2x

Combine like terms: -2 + -16.5 = -18.5
X + 1x = -18.5 + 2x

Add '-1x' to each side of the equation.
X + 1x + -1x = -18.5 + 2x + -1x

Combine like terms: 1x + -1x = 0
X + 0 = -18.5 + 2x + -1x
X = -18.5 + 2x + -1x

Combine like terms: 2x + -1x = 1x
X = -18.5 + 1x

Simplifying
X = -18.5 + 1x

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