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

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


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

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

Reorder the terms:
-12 + 3x + -2x = 4(x + -5)

Combine like terms: 3x + -2x = 1x
-12 + 1x = 4(x + -5)

Reorder the terms:
-12 + 1x = 4(-5 + x)
-12 + 1x = (-5 * 4 + x * 4)
-12 + 1x = (-20 + 4x)

Solving
-12 + 1x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 1x + -4x = -20 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-12 + -3x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -3x = -20 + 0
-12 + -3x = -20

Add '12' to each side of the equation.
-12 + 12 + -3x = -20 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = -20 + 12
-3x = -20 + 12

Combine like terms: -20 + 12 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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