2(x+7)=4(8)+3(x-9)

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Solution for 2(x+7)=4(8)+3(x-9) equation: 


Simplifying
2(x + 7) = 4(8) + 3(x + -9)

Reorder the terms:
2(7 + x) = 4(8) + 3(x + -9)
(7 * 2 + x * 2) = 4(8) + 3(x + -9)
(14 + 2x) = 4(8) + 3(x + -9)

Multiply 4 * 8
14 + 2x = 32 + 3(x + -9)

Reorder the terms:
14 + 2x = 32 + 3(-9 + x)
14 + 2x = 32 + (-9 * 3 + x * 3)
14 + 2x = 32 + (-27 + 3x)

Combine like terms: 32 + -27 = 5
14 + 2x = 5 + 3x

Solving
14 + 2x = 5 + 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 = 5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = 5 + 0
14 + -1x = 5

Add '-14' to each side of the equation.
14 + -14 + -1x = 5 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 5 + -14
-1x = 5 + -14

Combine like terms: 5 + -14 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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