10x-3x+5=18-x+3

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Solution for 10x-3x+5=18-x+3 equation:


Simplifying
10x + -3x + 5 = 18 + -1x + 3

Reorder the terms:
5 + 10x + -3x = 18 + -1x + 3

Combine like terms: 10x + -3x = 7x
5 + 7x = 18 + -1x + 3

Reorder the terms:
5 + 7x = 18 + 3 + -1x

Combine like terms: 18 + 3 = 21
5 + 7x = 21 + -1x

Solving
5 + 7x = 21 + -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.
5 + 7x + x = 21 + -1x + x

Combine like terms: 7x + x = 8x
5 + 8x = 21 + -1x + x

Combine like terms: -1x + x = 0
5 + 8x = 21 + 0
5 + 8x = 21

Add '-5' to each side of the equation.
5 + -5 + 8x = 21 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 21 + -5
8x = 21 + -5

Combine like terms: 21 + -5 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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