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

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


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

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

Combine like terms: 5x + 2x = 7x
9 + 7x = 2(x + -4)

Reorder the terms:
9 + 7x = 2(-4 + x)
9 + 7x = (-4 * 2 + x * 2)
9 + 7x = (-8 + 2x)

Solving
9 + 7x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + 7x + -2x = -8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
9 + 5x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 5x = -8 + 0
9 + 5x = -8

Add '-9' to each side of the equation.
9 + -9 + 5x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = -8 + -9
5x = -8 + -9

Combine like terms: -8 + -9 = -17
5x = -17

Divide each side by '5'.
x = -3.4

Simplifying
x = -3.4

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