7(x-4)=-9(x+2)+34

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Solution for 7(x-4)=-9(x+2)+34 equation: 


Simplifying
7(x + -4) = -9(x + 2) + 34

Reorder the terms:
7(-4 + x) = -9(x + 2) + 34
(-4 * 7 + x * 7) = -9(x + 2) + 34
(-28 + 7x) = -9(x + 2) + 34

Reorder the terms:
-28 + 7x = -9(2 + x) + 34
-28 + 7x = (2 * -9 + x * -9) + 34
-28 + 7x = (-18 + -9x) + 34

Reorder the terms:
-28 + 7x = -18 + 34 + -9x

Combine like terms: -18 + 34 = 16
-28 + 7x = 16 + -9x

Solving
-28 + 7x = 16 + -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 + 7x + 9x = 16 + -9x + 9x

Combine like terms: 7x + 9x = 16x
-28 + 16x = 16 + -9x + 9x

Combine like terms: -9x + 9x = 0
-28 + 16x = 16 + 0
-28 + 16x = 16

Add '28' to each side of the equation.
-28 + 28 + 16x = 16 + 28

Combine like terms: -28 + 28 = 0
0 + 16x = 16 + 28
16x = 16 + 28

Combine like terms: 16 + 28 = 44
16x = 44

Divide each side by '16'.
x = 2.75

Simplifying
x = 2.75

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