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

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


Simplifying
2(2x + 5) + -1(x + 4) = 9(2x + 5)

Reorder the terms:
2(5 + 2x) + -1(x + 4) = 9(2x + 5)
(5 * 2 + 2x * 2) + -1(x + 4) = 9(2x + 5)
(10 + 4x) + -1(x + 4) = 9(2x + 5)

Reorder the terms:
10 + 4x + -1(4 + x) = 9(2x + 5)
10 + 4x + (4 * -1 + x * -1) = 9(2x + 5)
10 + 4x + (-4 + -1x) = 9(2x + 5)

Reorder the terms:
10 + -4 + 4x + -1x = 9(2x + 5)

Combine like terms: 10 + -4 = 6
6 + 4x + -1x = 9(2x + 5)

Combine like terms: 4x + -1x = 3x
6 + 3x = 9(2x + 5)

Reorder the terms:
6 + 3x = 9(5 + 2x)
6 + 3x = (5 * 9 + 2x * 9)
6 + 3x = (45 + 18x)

Solving
6 + 3x = 45 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
6 + 3x + -18x = 45 + 18x + -18x

Combine like terms: 3x + -18x = -15x
6 + -15x = 45 + 18x + -18x

Combine like terms: 18x + -18x = 0
6 + -15x = 45 + 0
6 + -15x = 45

Add '-6' to each side of the equation.
6 + -6 + -15x = 45 + -6

Combine like terms: 6 + -6 = 0
0 + -15x = 45 + -6
-15x = 45 + -6

Combine like terms: 45 + -6 = 39
-15x = 39

Divide each side by '-15'.
x = -2.6

Simplifying
x = -2.6

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