4(x+2)+5=2(x+7)

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Solution for 4(x+2)+5=2(x+7) equation:


Simplifying
4(x + 2) + 5 = 2(x + 7)

Reorder the terms:
4(2 + x) + 5 = 2(x + 7)
(2 * 4 + x * 4) + 5 = 2(x + 7)
(8 + 4x) + 5 = 2(x + 7)

Reorder the terms:
8 + 5 + 4x = 2(x + 7)

Combine like terms: 8 + 5 = 13
13 + 4x = 2(x + 7)

Reorder the terms:
13 + 4x = 2(7 + x)
13 + 4x = (7 * 2 + x * 2)
13 + 4x = (14 + 2x)

Solving
13 + 4x = 14 + 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.
13 + 4x + -2x = 14 + 2x + -2x

Combine like terms: 4x + -2x = 2x
13 + 2x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + 2x = 14 + 0
13 + 2x = 14

Add '-13' to each side of the equation.
13 + -13 + 2x = 14 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 14 + -13
2x = 14 + -13

Combine like terms: 14 + -13 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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