4x+x+1=7x-2+1

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Solution for 4x+x+1=7x-2+1 equation:


Simplifying
4x + x + 1 = 7x + -2 + 1

Reorder the terms:
1 + 4x + x = 7x + -2 + 1

Combine like terms: 4x + x = 5x
1 + 5x = 7x + -2 + 1

Reorder the terms:
1 + 5x = -2 + 1 + 7x

Combine like terms: -2 + 1 = -1
1 + 5x = -1 + 7x

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

Combine like terms: 5x + -7x = -2x
1 + -2x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -2x = -1 + 0
1 + -2x = -1

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

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

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

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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