2(x+7)=4(4)+6(x-9)

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Solution for 2(x+7)=4(4)+6(x-9) equation:


Simplifying
2(x + 7) = 4(4) + 6(x + -9)

Reorder the terms:
2(7 + x) = 4(4) + 6(x + -9)
(7 * 2 + x * 2) = 4(4) + 6(x + -9)
(14 + 2x) = 4(4) + 6(x + -9)

Multiply 4 * 4
14 + 2x = 16 + 6(x + -9)

Reorder the terms:
14 + 2x = 16 + 6(-9 + x)
14 + 2x = 16 + (-9 * 6 + x * 6)
14 + 2x = 16 + (-54 + 6x)

Combine like terms: 16 + -54 = -38
14 + 2x = -38 + 6x

Solving
14 + 2x = -38 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + 2x + -6x = -38 + 6x + -6x

Combine like terms: 2x + -6x = -4x
14 + -4x = -38 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -4x = -38 + 0
14 + -4x = -38

Add '-14' to each side of the equation.
14 + -14 + -4x = -38 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -38 + -14
-4x = -38 + -14

Combine like terms: -38 + -14 = -52
-4x = -52

Divide each side by '-4'.
x = 13

Simplifying
x = 13

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