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

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


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

Reorder the terms:
7 + 6(-9 + x) = 4 + -9(x + -2)
7 + (-9 * 6 + x * 6) = 4 + -9(x + -2)
7 + (-54 + 6x) = 4 + -9(x + -2)

Combine like terms: 7 + -54 = -47
-47 + 6x = 4 + -9(x + -2)

Reorder the terms:
-47 + 6x = 4 + -9(-2 + x)
-47 + 6x = 4 + (-2 * -9 + x * -9)
-47 + 6x = 4 + (18 + -9x)

Combine like terms: 4 + 18 = 22
-47 + 6x = 22 + -9x

Solving
-47 + 6x = 22 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-47 + 6x + 9x = 22 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-47 + 15x = 22 + -9x + 9x

Combine like terms: -9x + 9x = 0
-47 + 15x = 22 + 0
-47 + 15x = 22

Add '47' to each side of the equation.
-47 + 47 + 15x = 22 + 47

Combine like terms: -47 + 47 = 0
0 + 15x = 22 + 47
15x = 22 + 47

Combine like terms: 22 + 47 = 69
15x = 69

Divide each side by '15'.
x = 4.6

Simplifying
x = 4.6

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