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

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


Simplifying
2(5 + 2x) + -5 = 3(3x + 7)
(5 * 2 + 2x * 2) + -5 = 3(3x + 7)
(10 + 4x) + -5 = 3(3x + 7)

Reorder the terms:
10 + -5 + 4x = 3(3x + 7)

Combine like terms: 10 + -5 = 5
5 + 4x = 3(3x + 7)

Reorder the terms:
5 + 4x = 3(7 + 3x)
5 + 4x = (7 * 3 + 3x * 3)
5 + 4x = (21 + 9x)

Solving
5 + 4x = 21 + 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.
5 + 4x + -9x = 21 + 9x + -9x

Combine like terms: 4x + -9x = -5x
5 + -5x = 21 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -5x = 21 + 0
5 + -5x = 21

Add '-5' to each side of the equation.
5 + -5 + -5x = 21 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = 21 + -5
-5x = 21 + -5

Combine like terms: 21 + -5 = 16
-5x = 16

Divide each side by '-5'.
x = -3.2

Simplifying
x = -3.2

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