8x+9=7(x+4)-3

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Solution for 8x+9=7(x+4)-3 equation:


Simplifying
8x + 9 = 7(x + 4) + -3

Reorder the terms:
9 + 8x = 7(x + 4) + -3

Reorder the terms:
9 + 8x = 7(4 + x) + -3
9 + 8x = (4 * 7 + x * 7) + -3
9 + 8x = (28 + 7x) + -3

Reorder the terms:
9 + 8x = 28 + -3 + 7x

Combine like terms: 28 + -3 = 25
9 + 8x = 25 + 7x

Solving
9 + 8x = 25 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
9 + 8x + -7x = 25 + 7x + -7x

Combine like terms: 8x + -7x = 1x
9 + 1x = 25 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + 1x = 25 + 0
9 + 1x = 25

Add '-9' to each side of the equation.
9 + -9 + 1x = 25 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 25 + -9
1x = 25 + -9

Combine like terms: 25 + -9 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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