2(x-3)-3(4x-5)=17-18

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Solution for 2(x-3)-3(4x-5)=17-18 equation: 


Simplifying
2(x + -3) + -3(4x + -5) = 17 + -18

Reorder the terms:
2(-3 + x) + -3(4x + -5) = 17 + -18
(-3 * 2 + x * 2) + -3(4x + -5) = 17 + -18
(-6 + 2x) + -3(4x + -5) = 17 + -18

Reorder the terms:
-6 + 2x + -3(-5 + 4x) = 17 + -18
-6 + 2x + (-5 * -3 + 4x * -3) = 17 + -18
-6 + 2x + (15 + -12x) = 17 + -18

Reorder the terms:
-6 + 15 + 2x + -12x = 17 + -18

Combine like terms: -6 + 15 = 9
9 + 2x + -12x = 17 + -18

Combine like terms: 2x + -12x = -10x
9 + -10x = 17 + -18

Combine like terms: 17 + -18 = -1
9 + -10x = -1

Solving
9 + -10x = -1

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -10x = -1 + -9

Combine like terms: 9 + -9 = 0
0 + -10x = -1 + -9
-10x = -1 + -9

Combine like terms: -1 + -9 = -10
-10x = -10

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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