2z+7+3x-2=5(z+1)

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Solution for 2z+7+3x-2=5(z+1) equation:


Simplifying
2z + 7 + 3x + -2 = 5(z + 1)

Reorder the terms:
7 + -2 + 3x + 2z = 5(z + 1)

Combine like terms: 7 + -2 = 5
5 + 3x + 2z = 5(z + 1)

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

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

Reorder the terms:
5 + -5 + 3x + 2z = 5 + -5 + 5z

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

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

Solving
3x + 2z = 5z

Solving for variable 'x'.

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

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

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

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

Divide each side by '3'.
x = z

Simplifying
x = z

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