2(5x+7)-4=9(x+3)

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Solution for 2(5x+7)-4=9(x+3) equation:


Simplifying
2(5x + 7) + -4 = 9(x + 3)

Reorder the terms:
2(7 + 5x) + -4 = 9(x + 3)
(7 * 2 + 5x * 2) + -4 = 9(x + 3)
(14 + 10x) + -4 = 9(x + 3)

Reorder the terms:
14 + -4 + 10x = 9(x + 3)

Combine like terms: 14 + -4 = 10
10 + 10x = 9(x + 3)

Reorder the terms:
10 + 10x = 9(3 + x)
10 + 10x = (3 * 9 + x * 9)
10 + 10x = (27 + 9x)

Solving
10 + 10x = 27 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10 + 10x + -9x = 27 + 9x + -9x

Combine like terms: 10x + -9x = 1x
10 + 1x = 27 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + 1x = 27 + 0
10 + 1x = 27

Add '-10' to each side of the equation.
10 + -10 + 1x = 27 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 27 + -10
1x = 27 + -10

Combine like terms: 27 + -10 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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