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

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


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

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

Combine like terms: 6x + 3x = 9x
-6 + 9x = 5x + 3(X + 4)

Reorder the terms:
-6 + 9x = 5x + 3(4 + X)
-6 + 9x = 5x + (4 * 3 + X * 3)
-6 + 9x = 5x + (12 + 3X)

Reorder the terms:
-6 + 9x = 12 + 3X + 5x

Solving
-6 + 9x = 12 + 3X + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 9x + -5x = 12 + 3X + 5x + -5x

Combine like terms: 9x + -5x = 4x
-6 + 4x = 12 + 3X + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 4x = 12 + 3X + 0
-6 + 4x = 12 + 3X

Add '6' to each side of the equation.
-6 + 6 + 4x = 12 + 6 + 3X

Combine like terms: -6 + 6 = 0
0 + 4x = 12 + 6 + 3X
4x = 12 + 6 + 3X

Combine like terms: 12 + 6 = 18
4x = 18 + 3X

Divide each side by '4'.
x = 4.5 + 0.75X

Simplifying
x = 4.5 + 0.75X

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