(X+2)-3(x-3)+4(2x-7)=18

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Solution for (X+2)-3(x-3)+4(2x-7)=18 equation:


Simplifying
(X + 2) + -3(x + -3) + 4(2x + -7) = 18

Reorder the terms:
(2 + X) + -3(x + -3) + 4(2x + -7) = 18

Remove parenthesis around (2 + X)
2 + X + -3(x + -3) + 4(2x + -7) = 18

Reorder the terms:
2 + X + -3(-3 + x) + 4(2x + -7) = 18
2 + X + (-3 * -3 + x * -3) + 4(2x + -7) = 18
2 + X + (9 + -3x) + 4(2x + -7) = 18

Reorder the terms:
2 + X + 9 + -3x + 4(-7 + 2x) = 18
2 + X + 9 + -3x + (-7 * 4 + 2x * 4) = 18
2 + X + 9 + -3x + (-28 + 8x) = 18

Reorder the terms:
2 + 9 + -28 + X + -3x + 8x = 18

Combine like terms: 2 + 9 = 11
11 + -28 + X + -3x + 8x = 18

Combine like terms: 11 + -28 = -17
-17 + X + -3x + 8x = 18

Combine like terms: -3x + 8x = 5x
-17 + X + 5x = 18

Solving
-17 + X + 5x = 18

Solving for variable 'X'.

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

Add '17' to each side of the equation.
-17 + X + 17 + 5x = 18 + 17

Reorder the terms:
-17 + 17 + X + 5x = 18 + 17

Combine like terms: -17 + 17 = 0
0 + X + 5x = 18 + 17
X + 5x = 18 + 17

Combine like terms: 18 + 17 = 35
X + 5x = 35

Add '-5x' to each side of the equation.
X + 5x + -5x = 35 + -5x

Combine like terms: 5x + -5x = 0
X + 0 = 35 + -5x
X = 35 + -5x

Simplifying
X = 35 + -5x

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