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

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


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

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

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

Combine like terms: -10 + 3 = -7
-7 + 2x = 3(x + -2)

Reorder the terms:
-7 + 2x = 3(-2 + x)
-7 + 2x = (-2 * 3 + x * 3)
-7 + 2x = (-6 + 3x)

Solving
-7 + 2x = -6 + 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.
-7 + 2x + -3x = -6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-7 + -1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + -1x = -6 + 0
-7 + -1x = -6

Add '7' to each side of the equation.
-7 + 7 + -1x = -6 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = -6 + 7
-1x = -6 + 7

Combine like terms: -6 + 7 = 1
-1x = 1

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

Simplifying
x = -1

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