6(z-2)+2z=7z+3(x-2)

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Solution for 6(z-2)+2z=7z+3(x-2) equation:


Simplifying
6(z + -2) + 2z = 7z + 3(x + -2)

Reorder the terms:
6(-2 + z) + 2z = 7z + 3(x + -2)
(-2 * 6 + z * 6) + 2z = 7z + 3(x + -2)
(-12 + 6z) + 2z = 7z + 3(x + -2)

Combine like terms: 6z + 2z = 8z
-12 + 8z = 7z + 3(x + -2)

Reorder the terms:
-12 + 8z = 7z + 3(-2 + x)
-12 + 8z = 7z + (-2 * 3 + x * 3)
-12 + 8z = 7z + (-6 + 3x)

Reorder the terms:
-12 + 8z = -6 + 3x + 7z

Solving
-12 + 8z = -6 + 3x + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-12 + 8z + -7z = -6 + 3x + 7z + -7z

Combine like terms: 8z + -7z = 1z
-12 + 1z = -6 + 3x + 7z + -7z

Combine like terms: 7z + -7z = 0
-12 + 1z = -6 + 3x + 0
-12 + 1z = -6 + 3x

Add '12' to each side of the equation.
-12 + 12 + 1z = -6 + 12 + 3x

Combine like terms: -12 + 12 = 0
0 + 1z = -6 + 12 + 3x
1z = -6 + 12 + 3x

Combine like terms: -6 + 12 = 6
1z = 6 + 3x

Divide each side by '1'.
z = 6 + 3x

Simplifying
z = 6 + 3x

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