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

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


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

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

Multiply 4 * 2
14 + 2x = 8 + 3(x + -6)

Reorder the terms:
14 + 2x = 8 + 3(-6 + x)
14 + 2x = 8 + (-6 * 3 + x * 3)
14 + 2x = 8 + (-18 + 3x)

Combine like terms: 8 + -18 = -10
14 + 2x = -10 + 3x

Solving
14 + 2x = -10 + 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 = -10 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = -10 + 0
14 + -1x = -10

Add '-14' to each side of the equation.
14 + -14 + -1x = -10 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = -10 + -14
-1x = -10 + -14

Combine like terms: -10 + -14 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24

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