5x-8=13+7(z-3)

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Solution for 5x-8=13+7(z-3) equation:


Simplifying
5x + -8 = 13 + 7(z + -3)

Reorder the terms:
-8 + 5x = 13 + 7(z + -3)

Reorder the terms:
-8 + 5x = 13 + 7(-3 + z)
-8 + 5x = 13 + (-3 * 7 + z * 7)
-8 + 5x = 13 + (-21 + 7z)

Combine like terms: 13 + -21 = -8
-8 + 5x = -8 + 7z

Add '8' to each side of the equation.
-8 + 8 + 5x = -8 + 8 + 7z

Combine like terms: -8 + 8 = 0
0 + 5x = -8 + 8 + 7z
5x = -8 + 8 + 7z

Combine like terms: -8 + 8 = 0
5x = 0 + 7z
5x = 7z

Solving
5x = 7z

Solving for variable 'x'.

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

Divide each side by '5'.
x = 1.4z

Simplifying
x = 1.4z

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