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

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


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

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

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

Combine like terms: 2 + -4 = -2
5 + 3z = -2 + -4x

Solving
5 + 3z = -2 + -4x

Solving for variable 'z'.

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

Add '-5' to each side of the equation.
5 + -5 + 3z = -2 + -5 + -4x

Combine like terms: 5 + -5 = 0
0 + 3z = -2 + -5 + -4x
3z = -2 + -5 + -4x

Combine like terms: -2 + -5 = -7
3z = -7 + -4x

Divide each side by '3'.
z = -2.333333333 + -1.333333333x

Simplifying
z = -2.333333333 + -1.333333333x

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