4(x+2)+2=2(x+15)+4

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Solution for 4(x+2)+2=2(x+15)+4 equation:


Simplifying
4(x + 2) + 2 = 2(x + 15) + 4

Reorder the terms:
4(2 + x) + 2 = 2(x + 15) + 4
(2 * 4 + x * 4) + 2 = 2(x + 15) + 4
(8 + 4x) + 2 = 2(x + 15) + 4

Reorder the terms:
8 + 2 + 4x = 2(x + 15) + 4

Combine like terms: 8 + 2 = 10
10 + 4x = 2(x + 15) + 4

Reorder the terms:
10 + 4x = 2(15 + x) + 4
10 + 4x = (15 * 2 + x * 2) + 4
10 + 4x = (30 + 2x) + 4

Reorder the terms:
10 + 4x = 30 + 4 + 2x

Combine like terms: 30 + 4 = 34
10 + 4x = 34 + 2x

Solving
10 + 4x = 34 + 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.
10 + 4x + -2x = 34 + 2x + -2x

Combine like terms: 4x + -2x = 2x
10 + 2x = 34 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 2x = 34 + 0
10 + 2x = 34

Add '-10' to each side of the equation.
10 + -10 + 2x = 34 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 34 + -10
2x = 34 + -10

Combine like terms: 34 + -10 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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