5(3x-1)+2x-1=40

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Solution for 5(3x-1)+2x-1=40 equation:


Simplifying
5(3x + -1) + 2x + -1 = 40

Reorder the terms:
5(-1 + 3x) + 2x + -1 = 40
(-1 * 5 + 3x * 5) + 2x + -1 = 40
(-5 + 15x) + 2x + -1 = 40

Reorder the terms:
-5 + -1 + 15x + 2x = 40

Combine like terms: -5 + -1 = -6
-6 + 15x + 2x = 40

Combine like terms: 15x + 2x = 17x
-6 + 17x = 40

Solving
-6 + 17x = 40

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 17x = 40 + 6

Combine like terms: -6 + 6 = 0
0 + 17x = 40 + 6
17x = 40 + 6

Combine like terms: 40 + 6 = 46
17x = 46

Divide each side by '17'.
x = 2.705882353

Simplifying
x = 2.705882353

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