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

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


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

Reorder the terms:
6(3 + 3x) + -4(x + 4) = 5x + 2
(3 * 6 + 3x * 6) + -4(x + 4) = 5x + 2
(18 + 18x) + -4(x + 4) = 5x + 2

Reorder the terms:
18 + 18x + -4(4 + x) = 5x + 2
18 + 18x + (4 * -4 + x * -4) = 5x + 2
18 + 18x + (-16 + -4x) = 5x + 2

Reorder the terms:
18 + -16 + 18x + -4x = 5x + 2

Combine like terms: 18 + -16 = 2
2 + 18x + -4x = 5x + 2

Combine like terms: 18x + -4x = 14x
2 + 14x = 5x + 2

Reorder the terms:
2 + 14x = 2 + 5x

Add '-2' to each side of the equation.
2 + -2 + 14x = 2 + -2 + 5x

Combine like terms: 2 + -2 = 0
0 + 14x = 2 + -2 + 5x
14x = 2 + -2 + 5x

Combine like terms: 2 + -2 = 0
14x = 0 + 5x
14x = 5x

Solving
14x = 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.
14x + -5x = 5x + -5x

Combine like terms: 14x + -5x = 9x
9x = 5x + -5x

Combine like terms: 5x + -5x = 0
9x = 0

Divide each side by '9'.
x = 0

Simplifying
x = 0

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