2x+2(x+3)=2(14)+2(x-4)

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Solution for 2x+2(x+3)=2(14)+2(x-4) equation:


Simplifying
2x + 2(x + 3) = 2(14) + 2(x + -4)

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

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

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

Multiply 2 * 14
6 + 4x = 28 + 2(x + -4)

Reorder the terms:
6 + 4x = 28 + 2(-4 + x)
6 + 4x = 28 + (-4 * 2 + x * 2)
6 + 4x = 28 + (-8 + 2x)

Combine like terms: 28 + -8 = 20
6 + 4x = 20 + 2x

Solving
6 + 4x = 20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 4x + -2x = 20 + 2x + -2x

Combine like terms: 4x + -2x = 2x
6 + 2x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 2x = 20 + 0
6 + 2x = 20

Add '-6' to each side of the equation.
6 + -6 + 2x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 20 + -6
2x = 20 + -6

Combine like terms: 20 + -6 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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