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

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


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

Reorder the terms:
9 + 2x + -5x = 2(x + -7)

Combine like terms: 2x + -5x = -3x
9 + -3x = 2(x + -7)

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

Solving
9 + -3x = -14 + 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 + -3x + -2x = -14 + 2x + -2x

Combine like terms: -3x + -2x = -5x
9 + -5x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -5x = -14 + 0
9 + -5x = -14

Add '-9' to each side of the equation.
9 + -9 + -5x = -14 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -14 + -9
-5x = -14 + -9

Combine like terms: -14 + -9 = -23
-5x = -23

Divide each side by '-5'.
x = 4.6

Simplifying
x = 4.6

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