3(5x+2)=8x+34

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Solution for 3(5x+2)=8x+34 equation:


Simplifying
3(5x + 2) = 8x + 34

Reorder the terms:
3(2 + 5x) = 8x + 34
(2 * 3 + 5x * 3) = 8x + 34
(6 + 15x) = 8x + 34

Reorder the terms:
6 + 15x = 34 + 8x

Solving
6 + 15x = 34 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 15x + -8x = 34 + 8x + -8x

Combine like terms: 15x + -8x = 7x
6 + 7x = 34 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 7x = 34 + 0
6 + 7x = 34

Add '-6' to each side of the equation.
6 + -6 + 7x = 34 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 34 + -6
7x = 34 + -6

Combine like terms: 34 + -6 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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