7(x-4)=-9(x+3)+45

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Solution for 7(x-4)=-9(x+3)+45 equation: 


Simplifying
7(x + -4) = -9(x + 3) + 45

Reorder the terms:
7(-4 + x) = -9(x + 3) + 45
(-4 * 7 + x * 7) = -9(x + 3) + 45
(-28 + 7x) = -9(x + 3) + 45

Reorder the terms:
-28 + 7x = -9(3 + x) + 45
-28 + 7x = (3 * -9 + x * -9) + 45
-28 + 7x = (-27 + -9x) + 45

Reorder the terms:
-28 + 7x = -27 + 45 + -9x

Combine like terms: -27 + 45 = 18
-28 + 7x = 18 + -9x

Solving
-28 + 7x = 18 + -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 = 18 + -9x + 9x

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

Combine like terms: -9x + 9x = 0
-28 + 16x = 18 + 0
-28 + 16x = 18

Add '28' to each side of the equation.
-28 + 28 + 16x = 18 + 28

Combine like terms: -28 + 28 = 0
0 + 16x = 18 + 28
16x = 18 + 28

Combine like terms: 18 + 28 = 46
16x = 46

Divide each side by '16'.
x = 2.875

Simplifying
x = 2.875

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