3(x-4)-5x+2=6(X+1)

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Solution for 3(x-4)-5x+2=6(X+1) equation:


Simplifying
3(x + -4) + -5x + 2 = 6(X + 1)

Reorder the terms:
3(-4 + x) + -5x + 2 = 6(X + 1)
(-4 * 3 + x * 3) + -5x + 2 = 6(X + 1)
(-12 + 3x) + -5x + 2 = 6(X + 1)

Reorder the terms:
-12 + 2 + 3x + -5x = 6(X + 1)

Combine like terms: -12 + 2 = -10
-10 + 3x + -5x = 6(X + 1)

Combine like terms: 3x + -5x = -2x
-10 + -2x = 6(X + 1)

Reorder the terms:
-10 + -2x = 6(1 + X)
-10 + -2x = (1 * 6 + X * 6)
-10 + -2x = (6 + 6X)

Solving
-10 + -2x = 6 + 6X

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + -2x = 6 + 10 + 6X

Combine like terms: -10 + 10 = 0
0 + -2x = 6 + 10 + 6X
-2x = 6 + 10 + 6X

Combine like terms: 6 + 10 = 16
-2x = 16 + 6X

Divide each side by '-2'.
x = -8 + -3X

Simplifying
x = -8 + -3X

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