7(x-9)=3(x-2)

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Solution for 7(x-9)=3(x-2) equation:


Simplifying
7(x + -9) = 3(x + -2)

Reorder the terms:
7(-9 + x) = 3(x + -2)
(-9 * 7 + x * 7) = 3(x + -2)
(-63 + 7x) = 3(x + -2)

Reorder the terms:
-63 + 7x = 3(-2 + x)
-63 + 7x = (-2 * 3 + x * 3)
-63 + 7x = (-6 + 3x)

Solving
-63 + 7x = -6 + 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.
-63 + 7x + -3x = -6 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-63 + 4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-63 + 4x = -6 + 0
-63 + 4x = -6

Add '63' to each side of the equation.
-63 + 63 + 4x = -6 + 63

Combine like terms: -63 + 63 = 0
0 + 4x = -6 + 63
4x = -6 + 63

Combine like terms: -6 + 63 = 57
4x = 57

Divide each side by '4'.
x = 14.25

Simplifying
x = 14.25

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