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

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


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

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

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

Combine like terms: -6 + -4 = -10
-10 + 2x = 3(x + -5) + -2

Reorder the terms:
-10 + 2x = 3(-5 + x) + -2
-10 + 2x = (-5 * 3 + x * 3) + -2
-10 + 2x = (-15 + 3x) + -2

Reorder the terms:
-10 + 2x = -15 + -2 + 3x

Combine like terms: -15 + -2 = -17
-10 + 2x = -17 + 3x

Solving
-10 + 2x = -17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 2x + -3x = -17 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-10 + -1x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -1x = -17 + 0
-10 + -1x = -17

Add '10' to each side of the equation.
-10 + 10 + -1x = -17 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -17 + 10
-1x = -17 + 10

Combine like terms: -17 + 10 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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