3x+5x+2x+1=3x+4x+1

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Solution for 3x+5x+2x+1=3x+4x+1 equation:


Simplifying
3x + 5x + 2x + 1 = 3x + 4x + 1

Reorder the terms:
1 + 3x + 5x + 2x = 3x + 4x + 1

Combine like terms: 3x + 5x = 8x
1 + 8x + 2x = 3x + 4x + 1

Combine like terms: 8x + 2x = 10x
1 + 10x = 3x + 4x + 1

Reorder the terms:
1 + 10x = 1 + 3x + 4x

Combine like terms: 3x + 4x = 7x
1 + 10x = 1 + 7x

Add '-1' to each side of the equation.
1 + -1 + 10x = 1 + -1 + 7x

Combine like terms: 1 + -1 = 0
0 + 10x = 1 + -1 + 7x
10x = 1 + -1 + 7x

Combine like terms: 1 + -1 = 0
10x = 0 + 7x
10x = 7x

Solving
10x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10x + -7x = 7x + -7x

Combine like terms: 10x + -7x = 3x
3x = 7x + -7x

Combine like terms: 7x + -7x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0

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