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

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

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

Reorder the terms:
5(-1 + 4x) + -3(z + 9) = 2(z + 1)
(-1 * 5 + 4x * 5) + -3(z + 9) = 2(z + 1)
(-5 + 20x) + -3(z + 9) = 2(z + 1)

Reorder the terms:
-5 + 20x + -3(9 + z) = 2(z + 1)
-5 + 20x + (9 * -3 + z * -3) = 2(z + 1)
-5 + 20x + (-27 + -3z) = 2(z + 1)

Reorder the terms:
-5 + -27 + 20x + -3z = 2(z + 1)

Combine like terms: -5 + -27 = -32
-32 + 20x + -3z = 2(z + 1)

Reorder the terms:
-32 + 20x + -3z = 2(1 + z)
-32 + 20x + -3z = (1 * 2 + z * 2)
-32 + 20x + -3z = (2 + 2z)

Solving
-32 + 20x + -3z = 2 + 2z

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 20x + 32 + -3z = 2 + 32 + 2z

Reorder the terms:
-32 + 32 + 20x + -3z = 2 + 32 + 2z

Combine like terms: -32 + 32 = 0
0 + 20x + -3z = 2 + 32 + 2z
20x + -3z = 2 + 32 + 2z

Combine like terms: 2 + 32 = 34
20x + -3z = 34 + 2z

Add '3z' to each side of the equation.
20x + -3z + 3z = 34 + 2z + 3z

Combine like terms: -3z + 3z = 0
20x + 0 = 34 + 2z + 3z
20x = 34 + 2z + 3z

Combine like terms: 2z + 3z = 5z
20x = 34 + 5z

Divide each side by '20'.
x = 1.7 + 0.25z

Simplifying
x = 1.7 + 0.25z