3(x-2)+4(2-3x)=47

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Solution for 3(x-2)+4(2-3x)=47 equation: 


Simplifying
3(x + -2) + 4(2 + -3x) = 47

Reorder the terms:
3(-2 + x) + 4(2 + -3x) = 47
(-2 * 3 + x * 3) + 4(2 + -3x) = 47
(-6 + 3x) + 4(2 + -3x) = 47
-6 + 3x + (2 * 4 + -3x * 4) = 47
-6 + 3x + (8 + -12x) = 47

Reorder the terms:
-6 + 8 + 3x + -12x = 47

Combine like terms: -6 + 8 = 2
2 + 3x + -12x = 47

Combine like terms: 3x + -12x = -9x
2 + -9x = 47

Solving
2 + -9x = 47

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -9x = 47 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 47 + -2
-9x = 47 + -2

Combine like terms: 47 + -2 = 45
-9x = 45

Divide each side by '-9'.
x = -5

Simplifying
x = -5

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