2z-3(x+6)=-4(x-1)

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Solution for 2z-3(x+6)=-4(x-1) equation:


Simplifying
2z + -3(x + 6) = -4(x + -1)

Reorder the terms:
2z + -3(6 + x) = -4(x + -1)
2z + (6 * -3 + x * -3) = -4(x + -1)
2z + (-18 + -3x) = -4(x + -1)

Reorder the terms:
-18 + -3x + 2z = -4(x + -1)

Reorder the terms:
-18 + -3x + 2z = -4(-1 + x)
-18 + -3x + 2z = (-1 * -4 + x * -4)
-18 + -3x + 2z = (4 + -4x)

Solving
-18 + -3x + 2z = 4 + -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.
-18 + -3x + 4x + 2z = 4 + -4x + 4x

Combine like terms: -3x + 4x = 1x
-18 + 1x + 2z = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 1x + 2z = 4 + 0
-18 + 1x + 2z = 4

Add '18' to each side of the equation.
-18 + 1x + 18 + 2z = 4 + 18

Reorder the terms:
-18 + 18 + 1x + 2z = 4 + 18

Combine like terms: -18 + 18 = 0
0 + 1x + 2z = 4 + 18
1x + 2z = 4 + 18

Combine like terms: 4 + 18 = 22
1x + 2z = 22

Add '-2z' to each side of the equation.
1x + 2z + -2z = 22 + -2z

Combine like terms: 2z + -2z = 0
1x + 0 = 22 + -2z
1x = 22 + -2z

Divide each side by '1'.
x = 22 + -2z

Simplifying
x = 22 + -2z

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