5(x-2)-(5x-9)=2(3x-1)-18

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Solution for 5(x-2)-(5x-9)=2(3x-1)-18 equation:


Simplifying
5(x + -2) + -1(5x + -9) = 2(3x + -1) + -18

Reorder the terms:
5(-2 + x) + -1(5x + -9) = 2(3x + -1) + -18
(-2 * 5 + x * 5) + -1(5x + -9) = 2(3x + -1) + -18
(-10 + 5x) + -1(5x + -9) = 2(3x + -1) + -18

Reorder the terms:
-10 + 5x + -1(-9 + 5x) = 2(3x + -1) + -18
-10 + 5x + (-9 * -1 + 5x * -1) = 2(3x + -1) + -18
-10 + 5x + (9 + -5x) = 2(3x + -1) + -18

Reorder the terms:
-10 + 9 + 5x + -5x = 2(3x + -1) + -18

Combine like terms: -10 + 9 = -1
-1 + 5x + -5x = 2(3x + -1) + -18

Combine like terms: 5x + -5x = 0
-1 + 0 = 2(3x + -1) + -18
-1 = 2(3x + -1) + -18

Reorder the terms:
-1 = 2(-1 + 3x) + -18
-1 = (-1 * 2 + 3x * 2) + -18
-1 = (-2 + 6x) + -18

Reorder the terms:
-1 = -2 + -18 + 6x

Combine like terms: -2 + -18 = -20
-1 = -20 + 6x

Solving
-1 = -20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + -6x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -6x = -20 + 0
-1 + -6x = -20

Add '1' to each side of the equation.
-1 + 1 + -6x = -20 + 1

Combine like terms: -1 + 1 = 0
0 + -6x = -20 + 1
-6x = -20 + 1

Combine like terms: -20 + 1 = -19
-6x = -19

Divide each side by '-6'.
x = 3.166666667

Simplifying
x = 3.166666667

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