4x-(x-1)=7

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Solution for 4x-(x-1)=7 equation:


Simplifying
4x + -1(x + -1) = 7

Reorder the terms:
4x + -1(-1 + x) = 7
4x + (-1 * -1 + x * -1) = 7
4x + (1 + -1x) = 7

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

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

Solving
1 + 3x = 7

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 7 + -1
3x = 7 + -1

Combine like terms: 7 + -1 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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