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

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


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

Reorder the terms:
2 + 5(3 + 2x) = (x + -4)
2 + (3 * 5 + 2x * 5) = (x + -4)
2 + (15 + 10x) = (x + -4)

Combine like terms: 2 + 15 = 17
17 + 10x = (x + -4)

Reorder the terms:
17 + 10x = (-4 + x)

Remove parenthesis around (-4 + x)
17 + 10x = -4 + x

Solving
17 + 10x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
17 + 10x + -1x = -4 + x + -1x

Combine like terms: 10x + -1x = 9x
17 + 9x = -4 + x + -1x

Combine like terms: x + -1x = 0
17 + 9x = -4 + 0
17 + 9x = -4

Add '-17' to each side of the equation.
17 + -17 + 9x = -4 + -17

Combine like terms: 17 + -17 = 0
0 + 9x = -4 + -17
9x = -4 + -17

Combine like terms: -4 + -17 = -21
9x = -21

Divide each side by '9'.
x = -2.333333333

Simplifying
x = -2.333333333

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