4(x+2)+7=35+2(x+4)

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Solution for 4(x+2)+7=35+2(x+4) equation:


Simplifying
4(x + 2) + 7 = 35 + 2(x + 4)

Reorder the terms:
4(2 + x) + 7 = 35 + 2(x + 4)
(2 * 4 + x * 4) + 7 = 35 + 2(x + 4)
(8 + 4x) + 7 = 35 + 2(x + 4)

Reorder the terms:
8 + 7 + 4x = 35 + 2(x + 4)

Combine like terms: 8 + 7 = 15
15 + 4x = 35 + 2(x + 4)

Reorder the terms:
15 + 4x = 35 + 2(4 + x)
15 + 4x = 35 + (4 * 2 + x * 2)
15 + 4x = 35 + (8 + 2x)

Combine like terms: 35 + 8 = 43
15 + 4x = 43 + 2x

Solving
15 + 4x = 43 + 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.
15 + 4x + -2x = 43 + 2x + -2x

Combine like terms: 4x + -2x = 2x
15 + 2x = 43 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 2x = 43 + 0
15 + 2x = 43

Add '-15' to each side of the equation.
15 + -15 + 2x = 43 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 43 + -15
2x = 43 + -15

Combine like terms: 43 + -15 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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