3x+1+15=2x+4(x+1)

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Solution for 3x+1+15=2x+4(x+1) equation:


Simplifying
3x + 1 + 15 = 2x + 4(x + 1)

Reorder the terms:
1 + 15 + 3x = 2x + 4(x + 1)

Combine like terms: 1 + 15 = 16
16 + 3x = 2x + 4(x + 1)

Reorder the terms:
16 + 3x = 2x + 4(1 + x)
16 + 3x = 2x + (1 * 4 + x * 4)
16 + 3x = 2x + (4 + 4x)

Reorder the terms:
16 + 3x = 4 + 2x + 4x

Combine like terms: 2x + 4x = 6x
16 + 3x = 4 + 6x

Solving
16 + 3x = 4 + 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.
16 + 3x + -6x = 4 + 6x + -6x

Combine like terms: 3x + -6x = -3x
16 + -3x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -3x = 4 + 0
16 + -3x = 4

Add '-16' to each side of the equation.
16 + -16 + -3x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 4 + -16
-3x = 4 + -16

Combine like terms: 4 + -16 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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