4+9(x-7)=6-3(x-2)

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Solution for 4+9(x-7)=6-3(x-2) equation:


Simplifying
4 + 9(x + -7) = 6 + -3(x + -2)

Reorder the terms:
4 + 9(-7 + x) = 6 + -3(x + -2)
4 + (-7 * 9 + x * 9) = 6 + -3(x + -2)
4 + (-63 + 9x) = 6 + -3(x + -2)

Combine like terms: 4 + -63 = -59
-59 + 9x = 6 + -3(x + -2)

Reorder the terms:
-59 + 9x = 6 + -3(-2 + x)
-59 + 9x = 6 + (-2 * -3 + x * -3)
-59 + 9x = 6 + (6 + -3x)

Combine like terms: 6 + 6 = 12
-59 + 9x = 12 + -3x

Solving
-59 + 9x = 12 + -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.
-59 + 9x + 3x = 12 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-59 + 12x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-59 + 12x = 12 + 0
-59 + 12x = 12

Add '59' to each side of the equation.
-59 + 59 + 12x = 12 + 59

Combine like terms: -59 + 59 = 0
0 + 12x = 12 + 59
12x = 12 + 59

Combine like terms: 12 + 59 = 71
12x = 71

Divide each side by '12'.
x = 5.916666667

Simplifying
x = 5.916666667

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