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

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


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

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

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

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

Combine like terms: 4 + 5 = 9
9 + 4x + -1x = 3(-3 + 2z)

Combine like terms: 4x + -1x = 3x
9 + 3x = 3(-3 + 2z)
9 + 3x = (-3 * 3 + 2z * 3)
9 + 3x = (-9 + 6z)

Solving
9 + 3x = -9 + 6z

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 3x = -9 + -9 + 6z

Combine like terms: 9 + -9 = 0
0 + 3x = -9 + -9 + 6z
3x = -9 + -9 + 6z

Combine like terms: -9 + -9 = -18
3x = -18 + 6z

Divide each side by '3'.
x = -6 + 2z

Simplifying
x = -6 + 2z

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