2(x+7)+18=3(2x+1)

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Solution for 2(x+7)+18=3(2x+1) equation:


Simplifying
2(x + 7) + 18 = 3(2x + 1)

Reorder the terms:
2(7 + x) + 18 = 3(2x + 1)
(7 * 2 + x * 2) + 18 = 3(2x + 1)
(14 + 2x) + 18 = 3(2x + 1)

Reorder the terms:
14 + 18 + 2x = 3(2x + 1)

Combine like terms: 14 + 18 = 32
32 + 2x = 3(2x + 1)

Reorder the terms:
32 + 2x = 3(1 + 2x)
32 + 2x = (1 * 3 + 2x * 3)
32 + 2x = (3 + 6x)

Solving
32 + 2x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
32 + 2x + -6x = 3 + 6x + -6x

Combine like terms: 2x + -6x = -4x
32 + -4x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
32 + -4x = 3 + 0
32 + -4x = 3

Add '-32' to each side of the equation.
32 + -32 + -4x = 3 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = 3 + -32
-4x = 3 + -32

Combine like terms: 3 + -32 = -29
-4x = -29

Divide each side by '-4'.
x = 7.25

Simplifying
x = 7.25

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