7(x-7)=3(x-3)

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


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

Reorder the terms:
7(-7 + x) = 3(x + -3)
(-7 * 7 + x * 7) = 3(x + -3)
(-49 + 7x) = 3(x + -3)

Reorder the terms:
-49 + 7x = 3(-3 + x)
-49 + 7x = (-3 * 3 + x * 3)
-49 + 7x = (-9 + 3x)

Solving
-49 + 7x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-49 + 7x + -3x = -9 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-49 + 4x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-49 + 4x = -9 + 0
-49 + 4x = -9

Add '49' to each side of the equation.
-49 + 49 + 4x = -9 + 49

Combine like terms: -49 + 49 = 0
0 + 4x = -9 + 49
4x = -9 + 49

Combine like terms: -9 + 49 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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