7(x-2)=-9(x+3)+33

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Solution for 7(x-2)=-9(x+3)+33 equation:


Simplifying
7(x + -2) = -9(x + 3) + 33

Reorder the terms:
7(-2 + x) = -9(x + 3) + 33
(-2 * 7 + x * 7) = -9(x + 3) + 33
(-14 + 7x) = -9(x + 3) + 33

Reorder the terms:
-14 + 7x = -9(3 + x) + 33
-14 + 7x = (3 * -9 + x * -9) + 33
-14 + 7x = (-27 + -9x) + 33

Reorder the terms:
-14 + 7x = -27 + 33 + -9x

Combine like terms: -27 + 33 = 6
-14 + 7x = 6 + -9x

Solving
-14 + 7x = 6 + -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.
-14 + 7x + 9x = 6 + -9x + 9x

Combine like terms: 7x + 9x = 16x
-14 + 16x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
-14 + 16x = 6 + 0
-14 + 16x = 6

Add '14' to each side of the equation.
-14 + 14 + 16x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 16x = 6 + 14
16x = 6 + 14

Combine like terms: 6 + 14 = 20
16x = 20

Divide each side by '16'.
x = 1.25

Simplifying
x = 1.25

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