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

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


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

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

Combine like terms: 7 + -4 = 3
(3 + x)(x + 3) = x(x + 7)

Reorder the terms:
(3 + x)(3 + x) = x(x + 7)

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) = x(x + 7)
((3 * 3 + x * 3) + x(3 + x)) = x(x + 7)
((9 + 3x) + x(3 + x)) = x(x + 7)
(9 + 3x + (3 * x + x * x)) = x(x + 7)
(9 + 3x + (3x + x2)) = x(x + 7)

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = x(x + 7)

Reorder the terms:
9 + 6x + x2 = x(7 + x)
9 + 6x + x2 = (7 * x + x * x)
9 + 6x + x2 = (7x + x2)

Add '-1x2' to each side of the equation.
9 + 6x + x2 + -1x2 = 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 6x + 0 = 7x + x2 + -1x2
9 + 6x = 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 6x = 7x + 0
9 + 6x = 7x

Solving
9 + 6x = 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 + 6x + -7x = 7x + -7x

Combine like terms: 6x + -7x = -1x
9 + -1x = 7x + -7x

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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