3(6-5)-2(4x-17)=3(3x+5)-12

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Solution for 3(6-5)-2(4x-17)=3(3x+5)-12 equation:


Simplifying
3(6 + -5) + -2(4x + -17) = 3(3x + 5) + -12

Combine like terms: 6 + -5 = 1
3(1) + -2(4x + -17) = 3(3x + 5) + -12

Multiply 3 * 1
3 + -2(4x + -17) = 3(3x + 5) + -12

Reorder the terms:
3 + -2(-17 + 4x) = 3(3x + 5) + -12
3 + (-17 * -2 + 4x * -2) = 3(3x + 5) + -12
3 + (34 + -8x) = 3(3x + 5) + -12

Combine like terms: 3 + 34 = 37
37 + -8x = 3(3x + 5) + -12

Reorder the terms:
37 + -8x = 3(5 + 3x) + -12
37 + -8x = (5 * 3 + 3x * 3) + -12
37 + -8x = (15 + 9x) + -12

Reorder the terms:
37 + -8x = 15 + -12 + 9x

Combine like terms: 15 + -12 = 3
37 + -8x = 3 + 9x

Solving
37 + -8x = 3 + 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.
37 + -8x + -9x = 3 + 9x + -9x

Combine like terms: -8x + -9x = -17x
37 + -17x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
37 + -17x = 3 + 0
37 + -17x = 3

Add '-37' to each side of the equation.
37 + -37 + -17x = 3 + -37

Combine like terms: 37 + -37 = 0
0 + -17x = 3 + -37
-17x = 3 + -37

Combine like terms: 3 + -37 = -34
-17x = -34

Divide each side by '-17'.
x = 2

Simplifying
x = 2

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