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

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


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

Reorder the terms:
3 + 6(-9 + x) = 7 + -4(x + -2)
3 + (-9 * 6 + x * 6) = 7 + -4(x + -2)
3 + (-54 + 6x) = 7 + -4(x + -2)

Combine like terms: 3 + -54 = -51
-51 + 6x = 7 + -4(x + -2)

Reorder the terms:
-51 + 6x = 7 + -4(-2 + x)
-51 + 6x = 7 + (-2 * -4 + x * -4)
-51 + 6x = 7 + (8 + -4x)

Combine like terms: 7 + 8 = 15
-51 + 6x = 15 + -4x

Solving
-51 + 6x = 15 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-51 + 6x + 4x = 15 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-51 + 10x = 15 + -4x + 4x

Combine like terms: -4x + 4x = 0
-51 + 10x = 15 + 0
-51 + 10x = 15

Add '51' to each side of the equation.
-51 + 51 + 10x = 15 + 51

Combine like terms: -51 + 51 = 0
0 + 10x = 15 + 51
10x = 15 + 51

Combine like terms: 15 + 51 = 66
10x = 66

Divide each side by '10'.
x = 6.6

Simplifying
x = 6.6

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