5x-2(z-8)=3(7-3z)+12

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Solution for 5x-2(z-8)=3(7-3z)+12 equation:


Simplifying
5x + -2(z + -8) = 3(7 + -3z) + 12

Reorder the terms:
5x + -2(-8 + z) = 3(7 + -3z) + 12
5x + (-8 * -2 + z * -2) = 3(7 + -3z) + 12
5x + (16 + -2z) = 3(7 + -3z) + 12

Reorder the terms:
16 + 5x + -2z = 3(7 + -3z) + 12
16 + 5x + -2z = (7 * 3 + -3z * 3) + 12
16 + 5x + -2z = (21 + -9z) + 12

Reorder the terms:
16 + 5x + -2z = 21 + 12 + -9z

Combine like terms: 21 + 12 = 33
16 + 5x + -2z = 33 + -9z

Solving
16 + 5x + -2z = 33 + -9z

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + 5x + -16 + -2z = 33 + -16 + -9z

Reorder the terms:
16 + -16 + 5x + -2z = 33 + -16 + -9z

Combine like terms: 16 + -16 = 0
0 + 5x + -2z = 33 + -16 + -9z
5x + -2z = 33 + -16 + -9z

Combine like terms: 33 + -16 = 17
5x + -2z = 17 + -9z

Add '2z' to each side of the equation.
5x + -2z + 2z = 17 + -9z + 2z

Combine like terms: -2z + 2z = 0
5x + 0 = 17 + -9z + 2z
5x = 17 + -9z + 2z

Combine like terms: -9z + 2z = -7z
5x = 17 + -7z

Divide each side by '5'.
x = 3.4 + -1.4z

Simplifying
x = 3.4 + -1.4z

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