7(x-3)=-9(x+2)+49

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Solution for 7(x-3)=-9(x+2)+49 equation:


Simplifying
7(x + -3) = -9(x + 2) + 49

Reorder the terms:
7(-3 + x) = -9(x + 2) + 49
(-3 * 7 + x * 7) = -9(x + 2) + 49
(-21 + 7x) = -9(x + 2) + 49

Reorder the terms:
-21 + 7x = -9(2 + x) + 49
-21 + 7x = (2 * -9 + x * -9) + 49
-21 + 7x = (-18 + -9x) + 49

Reorder the terms:
-21 + 7x = -18 + 49 + -9x

Combine like terms: -18 + 49 = 31
-21 + 7x = 31 + -9x

Solving
-21 + 7x = 31 + -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.
-21 + 7x + 9x = 31 + -9x + 9x

Combine like terms: 7x + 9x = 16x
-21 + 16x = 31 + -9x + 9x

Combine like terms: -9x + 9x = 0
-21 + 16x = 31 + 0
-21 + 16x = 31

Add '21' to each side of the equation.
-21 + 21 + 16x = 31 + 21

Combine like terms: -21 + 21 = 0
0 + 16x = 31 + 21
16x = 31 + 21

Combine like terms: 31 + 21 = 52
16x = 52

Divide each side by '16'.
x = 3.25

Simplifying
x = 3.25

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