3(2x+5)-4=5(x+9)

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Solution for 3(2x+5)-4=5(x+9) equation:


Simplifying
3(2x + 5) + -4 = 5(x + 9)

Reorder the terms:
3(5 + 2x) + -4 = 5(x + 9)
(5 * 3 + 2x * 3) + -4 = 5(x + 9)
(15 + 6x) + -4 = 5(x + 9)

Reorder the terms:
15 + -4 + 6x = 5(x + 9)

Combine like terms: 15 + -4 = 11
11 + 6x = 5(x + 9)

Reorder the terms:
11 + 6x = 5(9 + x)
11 + 6x = (9 * 5 + x * 5)
11 + 6x = (45 + 5x)

Solving
11 + 6x = 45 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11 + 6x + -5x = 45 + 5x + -5x

Combine like terms: 6x + -5x = 1x
11 + 1x = 45 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + 1x = 45 + 0
11 + 1x = 45

Add '-11' to each side of the equation.
11 + -11 + 1x = 45 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 45 + -11
1x = 45 + -11

Combine like terms: 45 + -11 = 34
1x = 34

Divide each side by '1'.
x = 34

Simplifying
x = 34

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