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

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


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

Reorder the terms:
9(-3 + x) + -7(x + 4) = 3
(-3 * 9 + x * 9) + -7(x + 4) = 3
(-27 + 9x) + -7(x + 4) = 3

Reorder the terms:
-27 + 9x + -7(4 + x) = 3
-27 + 9x + (4 * -7 + x * -7) = 3
-27 + 9x + (-28 + -7x) = 3

Reorder the terms:
-27 + -28 + 9x + -7x = 3

Combine like terms: -27 + -28 = -55
-55 + 9x + -7x = 3

Combine like terms: 9x + -7x = 2x
-55 + 2x = 3

Solving
-55 + 2x = 3

Solving for variable 'x'.

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

Add '55' to each side of the equation.
-55 + 55 + 2x = 3 + 55

Combine like terms: -55 + 55 = 0
0 + 2x = 3 + 55
2x = 3 + 55

Combine like terms: 3 + 55 = 58
2x = 58

Divide each side by '2'.
x = 29

Simplifying
x = 29

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