6(x-2)=-9(x+4)+49

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Solution for 6(x-2)=-9(x+4)+49 equation: 


Simplifying
6(x + -2) = -9(x + 4) + 49

Reorder the terms:
6(-2 + x) = -9(x + 4) + 49
(-2 * 6 + x * 6) = -9(x + 4) + 49
(-12 + 6x) = -9(x + 4) + 49

Reorder the terms:
-12 + 6x = -9(4 + x) + 49
-12 + 6x = (4 * -9 + x * -9) + 49
-12 + 6x = (-36 + -9x) + 49

Reorder the terms:
-12 + 6x = -36 + 49 + -9x

Combine like terms: -36 + 49 = 13
-12 + 6x = 13 + -9x

Solving
-12 + 6x = 13 + -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.
-12 + 6x + 9x = 13 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-12 + 15x = 13 + -9x + 9x

Combine like terms: -9x + 9x = 0
-12 + 15x = 13 + 0
-12 + 15x = 13

Add '12' to each side of the equation.
-12 + 12 + 15x = 13 + 12

Combine like terms: -12 + 12 = 0
0 + 15x = 13 + 12
15x = 13 + 12

Combine like terms: 13 + 12 = 25
15x = 25

Divide each side by '15'.
x = 1.666666667

Simplifying
x = 1.666666667

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