5(2x+7)+17=3(2x+9)+68

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Solution for 5(2x+7)+17=3(2x+9)+68 equation:


Simplifying
5(2x + 7) + 17 = 3(2x + 9) + 68

Reorder the terms:
5(7 + 2x) + 17 = 3(2x + 9) + 68
(7 * 5 + 2x * 5) + 17 = 3(2x + 9) + 68
(35 + 10x) + 17 = 3(2x + 9) + 68

Reorder the terms:
35 + 17 + 10x = 3(2x + 9) + 68

Combine like terms: 35 + 17 = 52
52 + 10x = 3(2x + 9) + 68

Reorder the terms:
52 + 10x = 3(9 + 2x) + 68
52 + 10x = (9 * 3 + 2x * 3) + 68
52 + 10x = (27 + 6x) + 68

Reorder the terms:
52 + 10x = 27 + 68 + 6x

Combine like terms: 27 + 68 = 95
52 + 10x = 95 + 6x

Solving
52 + 10x = 95 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
52 + 10x + -6x = 95 + 6x + -6x

Combine like terms: 10x + -6x = 4x
52 + 4x = 95 + 6x + -6x

Combine like terms: 6x + -6x = 0
52 + 4x = 95 + 0
52 + 4x = 95

Add '-52' to each side of the equation.
52 + -52 + 4x = 95 + -52

Combine like terms: 52 + -52 = 0
0 + 4x = 95 + -52
4x = 95 + -52

Combine like terms: 95 + -52 = 43
4x = 43

Divide each side by '4'.
x = 10.75

Simplifying
x = 10.75

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