x+3(x+6)=4(2x+1)

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Solution for x+3(x+6)=4(2x+1) equation:


Simplifying
x + 3(x + 6) = 4(2x + 1)

Reorder the terms:
x + 3(6 + x) = 4(2x + 1)
x + (6 * 3 + x * 3) = 4(2x + 1)
x + (18 + 3x) = 4(2x + 1)

Reorder the terms:
18 + x + 3x = 4(2x + 1)

Combine like terms: x + 3x = 4x
18 + 4x = 4(2x + 1)

Reorder the terms:
18 + 4x = 4(1 + 2x)
18 + 4x = (1 * 4 + 2x * 4)
18 + 4x = (4 + 8x)

Solving
18 + 4x = 4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
18 + 4x + -8x = 4 + 8x + -8x

Combine like terms: 4x + -8x = -4x
18 + -4x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -4x = 4 + 0
18 + -4x = 4

Add '-18' to each side of the equation.
18 + -18 + -4x = 4 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = 4 + -18
-4x = 4 + -18

Combine like terms: 4 + -18 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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