3(X-5)-3=4(X+4)-2X

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Solution for 3(X-5)-3=4(X+4)-2X equation: 


Simplifying
3(X + -5) + -3 = 4(X + 4) + -2X

Reorder the terms:
3(-5 + X) + -3 = 4(X + 4) + -2X
(-5 * 3 + X * 3) + -3 = 4(X + 4) + -2X
(-15 + 3X) + -3 = 4(X + 4) + -2X

Reorder the terms:
-15 + -3 + 3X = 4(X + 4) + -2X

Combine like terms: -15 + -3 = -18
-18 + 3X = 4(X + 4) + -2X

Reorder the terms:
-18 + 3X = 4(4 + X) + -2X
-18 + 3X = (4 * 4 + X * 4) + -2X
-18 + 3X = (16 + 4X) + -2X

Combine like terms: 4X + -2X = 2X
-18 + 3X = 16 + 2X

Solving
-18 + 3X = 16 + 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.
-18 + 3X + -2X = 16 + 2X + -2X

Combine like terms: 3X + -2X = 1X
-18 + 1X = 16 + 2X + -2X

Combine like terms: 2X + -2X = 0
-18 + 1X = 16 + 0
-18 + 1X = 16

Add '18' to each side of the equation.
-18 + 18 + 1X = 16 + 18

Combine like terms: -18 + 18 = 0
0 + 1X = 16 + 18
1X = 16 + 18

Combine like terms: 16 + 18 = 34
1X = 34

Divide each side by '1'.
X = 34

Simplifying
X = 34

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