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

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


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

Reorder the terms:
7(-3 + x) = -9(x + 4) + 45
(-3 * 7 + x * 7) = -9(x + 4) + 45
(-21 + 7x) = -9(x + 4) + 45

Reorder the terms:
-21 + 7x = -9(4 + x) + 45
-21 + 7x = (4 * -9 + x * -9) + 45
-21 + 7x = (-36 + -9x) + 45

Reorder the terms:
-21 + 7x = -36 + 45 + -9x

Combine like terms: -36 + 45 = 9
-21 + 7x = 9 + -9x

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

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

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

Add '21' to each side of the equation.
-21 + 21 + 16x = 9 + 21

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

Combine like terms: 9 + 21 = 30
16x = 30

Divide each side by '16'.
x = 1.875

Simplifying
x = 1.875

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