4(6z-1)-5(x+3)=16(z+1)

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Solution for 4(6z-1)-5(x+3)=16(z+1) equation:


Simplifying
4(6z + -1) + -5(x + 3) = 16(z + 1)

Reorder the terms:
4(-1 + 6z) + -5(x + 3) = 16(z + 1)
(-1 * 4 + 6z * 4) + -5(x + 3) = 16(z + 1)
(-4 + 24z) + -5(x + 3) = 16(z + 1)

Reorder the terms:
-4 + 24z + -5(3 + x) = 16(z + 1)
-4 + 24z + (3 * -5 + x * -5) = 16(z + 1)
-4 + 24z + (-15 + -5x) = 16(z + 1)

Reorder the terms:
-4 + -15 + -5x + 24z = 16(z + 1)

Combine like terms: -4 + -15 = -19
-19 + -5x + 24z = 16(z + 1)

Reorder the terms:
-19 + -5x + 24z = 16(1 + z)
-19 + -5x + 24z = (1 * 16 + z * 16)
-19 + -5x + 24z = (16 + 16z)

Solving
-19 + -5x + 24z = 16 + 16z

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + -5x + 19 + 24z = 16 + 19 + 16z

Reorder the terms:
-19 + 19 + -5x + 24z = 16 + 19 + 16z

Combine like terms: -19 + 19 = 0
0 + -5x + 24z = 16 + 19 + 16z
-5x + 24z = 16 + 19 + 16z

Combine like terms: 16 + 19 = 35
-5x + 24z = 35 + 16z

Add '-24z' to each side of the equation.
-5x + 24z + -24z = 35 + 16z + -24z

Combine like terms: 24z + -24z = 0
-5x + 0 = 35 + 16z + -24z
-5x = 35 + 16z + -24z

Combine like terms: 16z + -24z = -8z
-5x = 35 + -8z

Divide each side by '-5'.
x = -7 + 1.6z

Simplifying
x = -7 + 1.6z

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