5(3x+8)-2(6x+15)=34

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Solution for 5(3x+8)-2(6x+15)=34 equation:


Simplifying
5(3x + 8) + -2(6x + 15) = 34

Reorder the terms:
5(8 + 3x) + -2(6x + 15) = 34
(8 * 5 + 3x * 5) + -2(6x + 15) = 34
(40 + 15x) + -2(6x + 15) = 34

Reorder the terms:
40 + 15x + -2(15 + 6x) = 34
40 + 15x + (15 * -2 + 6x * -2) = 34
40 + 15x + (-30 + -12x) = 34

Reorder the terms:
40 + -30 + 15x + -12x = 34

Combine like terms: 40 + -30 = 10
10 + 15x + -12x = 34

Combine like terms: 15x + -12x = 3x
10 + 3x = 34

Solving
10 + 3x = 34

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 3x = 34 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 34 + -10
3x = 34 + -10

Combine like terms: 34 + -10 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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