4x+1=x+5+x-3

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Solution for 4x+1=x+5+x-3 equation:


Simplifying
4x + 1 = x + 5 + x + -3

Reorder the terms:
1 + 4x = x + 5 + x + -3

Reorder the terms:
1 + 4x = 5 + -3 + x + x

Combine like terms: 5 + -3 = 2
1 + 4x = 2 + x + x

Combine like terms: x + x = 2x
1 + 4x = 2 + 2x

Solving
1 + 4x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1 + 4x + -2x = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
1 + 2x = 2 + 0
1 + 2x = 2

Add '-1' to each side of the equation.
1 + -1 + 2x = 2 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 2 + -1
2x = 2 + -1

Combine like terms: 2 + -1 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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