3(x-5)+4x+1=4(4+x)

Solution for 3(x-5)+4x+1=4(4+x) equation:

Simplifying
3(x + -5) + 4x + 1 = 4(4 + x)

Reorder the terms:
3(-5 + x) + 4x + 1 = 4(4 + x)
(-5 * 3 + x * 3) + 4x + 1 = 4(4 + x)
(-15 + 3x) + 4x + 1 = 4(4 + x)

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

Combine like terms: -15 + 1 = -14
-14 + 3x + 4x = 4(4 + x)

Combine like terms: 3x + 4x = 7x
-14 + 7x = 4(4 + x)
-14 + 7x = (4 * 4 + x * 4)
-14 + 7x = (16 + 4x)

Solving
-14 + 7x = 16 + 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 + 7x + -4x = 16 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-14 + 3x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + 3x = 16 + 0
-14 + 3x = 16

Add '14' to each side of the equation.
-14 + 14 + 3x = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 16 + 14
3x = 16 + 14

Combine like terms: 16 + 14 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10