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

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


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

Reorder the terms:
3(-5 + x) + x = -2(x + -3) + x + -1
(-5 * 3 + x * 3) + x = -2(x + -3) + x + -1
(-15 + 3x) + x = -2(x + -3) + x + -1

Combine like terms: 3x + x = 4x
-15 + 4x = -2(x + -3) + x + -1

Reorder the terms:
-15 + 4x = -2(-3 + x) + x + -1
-15 + 4x = (-3 * -2 + x * -2) + x + -1
-15 + 4x = (6 + -2x) + x + -1

Reorder the terms:
-15 + 4x = 6 + -1 + -2x + x

Combine like terms: 6 + -1 = 5
-15 + 4x = 5 + -2x + x

Combine like terms: -2x + x = -1x
-15 + 4x = 5 + -1x

Solving
-15 + 4x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-15 + 4x + x = 5 + -1x + x

Combine like terms: 4x + x = 5x
-15 + 5x = 5 + -1x + x

Combine like terms: -1x + x = 0
-15 + 5x = 5 + 0
-15 + 5x = 5

Add '15' to each side of the equation.
-15 + 15 + 5x = 5 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 5 + 15
5x = 5 + 15

Combine like terms: 5 + 15 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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