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

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


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

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

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

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

Combine like terms: -10 + 10 = 0
0 + 2x + -5x = x + 3 + -1(x + -3)
2x + -5x = x + 3 + -1(x + -3)

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

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

Reorder the terms:
-3x = 3 + 3 + x + -1x

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

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

Solving
-3x = 6

Solving for variable 'x'.

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

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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