14+3(x+6)=4+2(3x+5)

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Solution for 14+3(x+6)=4+2(3x+5) equation:


Simplifying
14 + 3(x + 6) = 4 + 2(3x + 5)

Reorder the terms:
14 + 3(6 + x) = 4 + 2(3x + 5)
14 + (6 * 3 + x * 3) = 4 + 2(3x + 5)
14 + (18 + 3x) = 4 + 2(3x + 5)

Combine like terms: 14 + 18 = 32
32 + 3x = 4 + 2(3x + 5)

Reorder the terms:
32 + 3x = 4 + 2(5 + 3x)
32 + 3x = 4 + (5 * 2 + 3x * 2)
32 + 3x = 4 + (10 + 6x)

Combine like terms: 4 + 10 = 14
32 + 3x = 14 + 6x

Solving
32 + 3x = 14 + 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 + 3x + -6x = 14 + 6x + -6x

Combine like terms: 3x + -6x = -3x
32 + -3x = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0
32 + -3x = 14 + 0
32 + -3x = 14

Add '-32' to each side of the equation.
32 + -32 + -3x = 14 + -32

Combine like terms: 32 + -32 = 0
0 + -3x = 14 + -32
-3x = 14 + -32

Combine like terms: 14 + -32 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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