2[4-(z-1)+3x]=14

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Solution for 2[4-(z-1)+3x]=14 equation:


Simplifying
2[4 + -1(z + -1) + 3x] = 14

Reorder the terms:
2[4 + -1(-1 + z) + 3x] = 14
2[4 + (-1 * -1 + z * -1) + 3x] = 14
2[4 + (1 + -1z) + 3x] = 14

Reorder the terms:
2[4 + 1 + 3x + -1z] = 14

Combine like terms: 4 + 1 = 5
2[5 + 3x + -1z] = 14
[5 * 2 + 3x * 2 + -1z * 2] = 14
[10 + 6x + -2z] = 14

Solving
10 + 6x + -2z = 14

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 6x + -10 + -2z = 14 + -10

Reorder the terms:
10 + -10 + 6x + -2z = 14 + -10

Combine like terms: 10 + -10 = 0
0 + 6x + -2z = 14 + -10
6x + -2z = 14 + -10

Combine like terms: 14 + -10 = 4
6x + -2z = 4

Add '2z' to each side of the equation.
6x + -2z + 2z = 4 + 2z

Combine like terms: -2z + 2z = 0
6x + 0 = 4 + 2z
6x = 4 + 2z

Divide each side by '6'.
x = 0.6666666667 + 0.3333333333z

Simplifying
x = 0.6666666667 + 0.3333333333z

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