2(x-5)-3(2x-3)=3

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


Simplifying
2(x + -5) + -3(2x + -3) = 3

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

Reorder the terms:
-10 + 2x + -3(-3 + 2x) = 3
-10 + 2x + (-3 * -3 + 2x * -3) = 3
-10 + 2x + (9 + -6x) = 3

Reorder the terms:
-10 + 9 + 2x + -6x = 3

Combine like terms: -10 + 9 = -1
-1 + 2x + -6x = 3

Combine like terms: 2x + -6x = -4x
-1 + -4x = 3

Solving
-1 + -4x = 3

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -4x = 3 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 3 + 1
-4x = 3 + 1

Combine like terms: 3 + 1 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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