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

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


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

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

Combine like terms: 2 + 12 = 14
14 + -3x = 4x + 6(x + 2)

Reorder the terms:
14 + -3x = 4x + 6(2 + x)
14 + -3x = 4x + (2 * 6 + x * 6)
14 + -3x = 4x + (12 + 6x)

Reorder the terms:
14 + -3x = 12 + 4x + 6x

Combine like terms: 4x + 6x = 10x
14 + -3x = 12 + 10x

Solving
14 + -3x = 12 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
14 + -3x + -10x = 12 + 10x + -10x

Combine like terms: -3x + -10x = -13x
14 + -13x = 12 + 10x + -10x

Combine like terms: 10x + -10x = 0
14 + -13x = 12 + 0
14 + -13x = 12

Add '-14' to each side of the equation.
14 + -14 + -13x = 12 + -14

Combine like terms: 14 + -14 = 0
0 + -13x = 12 + -14
-13x = 12 + -14

Combine like terms: 12 + -14 = -2
-13x = -2

Divide each side by '-13'.
x = 0.1538461538

Simplifying
x = 0.1538461538

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