5(4x+1)-3(3x-1)=30

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Solution for 5(4x+1)-3(3x-1)=30 equation:


Simplifying
5(4x + 1) + -3(3x + -1) = 30

Reorder the terms:
5(1 + 4x) + -3(3x + -1) = 30
(1 * 5 + 4x * 5) + -3(3x + -1) = 30
(5 + 20x) + -3(3x + -1) = 30

Reorder the terms:
5 + 20x + -3(-1 + 3x) = 30
5 + 20x + (-1 * -3 + 3x * -3) = 30
5 + 20x + (3 + -9x) = 30

Reorder the terms:
5 + 3 + 20x + -9x = 30

Combine like terms: 5 + 3 = 8
8 + 20x + -9x = 30

Combine like terms: 20x + -9x = 11x
8 + 11x = 30

Solving
8 + 11x = 30

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 11x = 30 + -8

Combine like terms: 8 + -8 = 0
0 + 11x = 30 + -8
11x = 30 + -8

Combine like terms: 30 + -8 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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