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

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


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

Reorder the terms:
4 + 6(-6 + x) = 7 + -6(x + -9)
4 + (-6 * 6 + x * 6) = 7 + -6(x + -9)
4 + (-36 + 6x) = 7 + -6(x + -9)

Combine like terms: 4 + -36 = -32
-32 + 6x = 7 + -6(x + -9)

Reorder the terms:
-32 + 6x = 7 + -6(-9 + x)
-32 + 6x = 7 + (-9 * -6 + x * -6)
-32 + 6x = 7 + (54 + -6x)

Combine like terms: 7 + 54 = 61
-32 + 6x = 61 + -6x

Solving
-32 + 6x = 61 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-32 + 6x + 6x = 61 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-32 + 12x = 61 + -6x + 6x

Combine like terms: -6x + 6x = 0
-32 + 12x = 61 + 0
-32 + 12x = 61

Add '32' to each side of the equation.
-32 + 32 + 12x = 61 + 32

Combine like terms: -32 + 32 = 0
0 + 12x = 61 + 32
12x = 61 + 32

Combine like terms: 61 + 32 = 93
12x = 93

Divide each side by '12'.
x = 7.75

Simplifying
x = 7.75

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