9(x-7)+3(x-2)=51

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Solution for 9(x-7)+3(x-2)=51 equation: 


Simplifying
9(x + -7) + 3(x + -2) = 51

Reorder the terms:
9(-7 + x) + 3(x + -2) = 51
(-7 * 9 + x * 9) + 3(x + -2) = 51
(-63 + 9x) + 3(x + -2) = 51

Reorder the terms:
-63 + 9x + 3(-2 + x) = 51
-63 + 9x + (-2 * 3 + x * 3) = 51
-63 + 9x + (-6 + 3x) = 51

Reorder the terms:
-63 + -6 + 9x + 3x = 51

Combine like terms: -63 + -6 = -69
-69 + 9x + 3x = 51

Combine like terms: 9x + 3x = 12x
-69 + 12x = 51

Solving
-69 + 12x = 51

Solving for variable 'x'.

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

Add '69' to each side of the equation.
-69 + 69 + 12x = 51 + 69

Combine like terms: -69 + 69 = 0
0 + 12x = 51 + 69
12x = 51 + 69

Combine like terms: 51 + 69 = 120
12x = 120

Divide each side by '12'.
x = 10

Simplifying
x = 10

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