5x-3=-3(x-1)+10

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Solution for 5x-3=-3(x-1)+10 equation:


Simplifying
5x + -3 = -3(x + -1) + 10

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

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

Reorder the terms:
-3 + 5x = 3 + 10 + -3x

Combine like terms: 3 + 10 = 13
-3 + 5x = 13 + -3x

Solving
-3 + 5x = 13 + -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.
-3 + 5x + 3x = 13 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-3 + 8x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + 8x = 13 + 0
-3 + 8x = 13

Add '3' to each side of the equation.
-3 + 3 + 8x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 13 + 3
8x = 13 + 3

Combine like terms: 13 + 3 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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