3(x+2)+8=2(2x+5)

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Solution for 3(x+2)+8=2(2x+5) equation:


Simplifying
3(x + 2) + 8 = 2(2x + 5)

Reorder the terms:
3(2 + x) + 8 = 2(2x + 5)
(2 * 3 + x * 3) + 8 = 2(2x + 5)
(6 + 3x) + 8 = 2(2x + 5)

Reorder the terms:
6 + 8 + 3x = 2(2x + 5)

Combine like terms: 6 + 8 = 14
14 + 3x = 2(2x + 5)

Reorder the terms:
14 + 3x = 2(5 + 2x)
14 + 3x = (5 * 2 + 2x * 2)
14 + 3x = (10 + 4x)

Solving
14 + 3x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
14 + 3x + -4x = 10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
14 + -1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -1x = 10 + 0
14 + -1x = 10

Add '-14' to each side of the equation.
14 + -14 + -1x = 10 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 10 + -14
-1x = 10 + -14

Combine like terms: 10 + -14 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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