2(x+7)=6+3(x-4)

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Solution for 2(x+7)=6+3(x-4) equation:


Simplifying
2(x + 7) = 6 + 3(x + -4)

Reorder the terms:
2(7 + x) = 6 + 3(x + -4)
(7 * 2 + x * 2) = 6 + 3(x + -4)
(14 + 2x) = 6 + 3(x + -4)

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

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

Solving
14 + 2x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + 2x + -3x = -6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = -6 + 0
14 + -1x = -6

Add '-14' to each side of the equation.
14 + -14 + -1x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = -6 + -14
-1x = -6 + -14

Combine like terms: -6 + -14 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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