5x+4-3(x-1)=x+6

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Solution for 5x+4-3(x-1)=x+6 equation:


Simplifying
5x + 4 + -3(x + -1) = x + 6

Reorder the terms:
5x + 4 + -3(-1 + x) = x + 6
5x + 4 + (-1 * -3 + x * -3) = x + 6
5x + 4 + (3 + -3x) = x + 6

Reorder the terms:
4 + 3 + 5x + -3x = x + 6

Combine like terms: 4 + 3 = 7
7 + 5x + -3x = x + 6

Combine like terms: 5x + -3x = 2x
7 + 2x = x + 6

Reorder the terms:
7 + 2x = 6 + x

Solving
7 + 2x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + 2x + -1x = 6 + x + -1x

Combine like terms: 2x + -1x = 1x
7 + 1x = 6 + x + -1x

Combine like terms: x + -1x = 0
7 + 1x = 6 + 0
7 + 1x = 6

Add '-7' to each side of the equation.
7 + -7 + 1x = 6 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 6 + -7
1x = 6 + -7

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

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

Simplifying
x = -1

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