9x+1=3(4x+1)-2(x+5)

Solution for 9x+1=3(4x+1)-2(x+5) equation:

Simplifying
9x + 1 = 3(4x + 1) + -2(x + 5)

Reorder the terms:
1 + 9x = 3(4x + 1) + -2(x + 5)

Reorder the terms:
1 + 9x = 3(1 + 4x) + -2(x + 5)
1 + 9x = (1 * 3 + 4x * 3) + -2(x + 5)
1 + 9x = (3 + 12x) + -2(x + 5)

Reorder the terms:
1 + 9x = 3 + 12x + -2(5 + x)
1 + 9x = 3 + 12x + (5 * -2 + x * -2)
1 + 9x = 3 + 12x + (-10 + -2x)

Reorder the terms:
1 + 9x = 3 + -10 + 12x + -2x

Combine like terms: 3 + -10 = -7
1 + 9x = -7 + 12x + -2x

Combine like terms: 12x + -2x = 10x
1 + 9x = -7 + 10x

Solving
1 + 9x = -7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
1 + 9x + -10x = -7 + 10x + -10x

Combine like terms: 9x + -10x = -1x
1 + -1x = -7 + 10x + -10x

Combine like terms: 10x + -10x = 0
1 + -1x = -7 + 0
1 + -1x = -7

Add '-1' to each side of the equation.
1 + -1 + -1x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -7 + -1
-1x = -7 + -1

Combine like terms: -7 + -1 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8