7(x-3)=3(x-6)

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Solution for 7(x-3)=3(x-6) equation:


Simplifying
7(x + -3) = 3(x + -6)

Reorder the terms:
7(-3 + x) = 3(x + -6)
(-3 * 7 + x * 7) = 3(x + -6)
(-21 + 7x) = 3(x + -6)

Reorder the terms:
-21 + 7x = 3(-6 + x)
-21 + 7x = (-6 * 3 + x * 3)
-21 + 7x = (-18 + 3x)

Solving
-21 + 7x = -18 + 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.
-21 + 7x + -3x = -18 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-21 + 4x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-21 + 4x = -18 + 0
-21 + 4x = -18

Add '21' to each side of the equation.
-21 + 21 + 4x = -18 + 21

Combine like terms: -21 + 21 = 0
0 + 4x = -18 + 21
4x = -18 + 21

Combine like terms: -18 + 21 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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