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

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


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

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

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

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

Reorder the terms:
-7 + 3x = 3 + x

Solving
-7 + 3x = 3 + 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 + 3x + -1x = 3 + x + -1x

Combine like terms: 3x + -1x = 2x
-7 + 2x = 3 + x + -1x

Combine like terms: x + -1x = 0
-7 + 2x = 3 + 0
-7 + 2x = 3

Add '7' to each side of the equation.
-7 + 7 + 2x = 3 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 3 + 7
2x = 3 + 7

Combine like terms: 3 + 7 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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