3x+4(2x-7)=9x-22

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Solution for 3x+4(2x-7)=9x-22 equation:


Simplifying
3x + 4(2x + -7) = 9x + -22

Reorder the terms:
3x + 4(-7 + 2x) = 9x + -22
3x + (-7 * 4 + 2x * 4) = 9x + -22
3x + (-28 + 8x) = 9x + -22

Reorder the terms:
-28 + 3x + 8x = 9x + -22

Combine like terms: 3x + 8x = 11x
-28 + 11x = 9x + -22

Reorder the terms:
-28 + 11x = -22 + 9x

Solving
-28 + 11x = -22 + 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.
-28 + 11x + -9x = -22 + 9x + -9x

Combine like terms: 11x + -9x = 2x
-28 + 2x = -22 + 9x + -9x

Combine like terms: 9x + -9x = 0
-28 + 2x = -22 + 0
-28 + 2x = -22

Add '28' to each side of the equation.
-28 + 28 + 2x = -22 + 28

Combine like terms: -28 + 28 = 0
0 + 2x = -22 + 28
2x = -22 + 28

Combine like terms: -22 + 28 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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