2x-7=x+3(x-1)

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Solution for 2x-7=x+3(x-1) equation:


Simplifying
2x + -7 = x + 3(x + -1)

Reorder the terms:
-7 + 2x = x + 3(x + -1)

Reorder the terms:
-7 + 2x = x + 3(-1 + x)
-7 + 2x = x + (-1 * 3 + x * 3)
-7 + 2x = x + (-3 + 3x)

Reorder the terms:
-7 + 2x = -3 + x + 3x

Combine like terms: x + 3x = 4x
-7 + 2x = -3 + 4x

Solving
-7 + 2x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + 2x + -4x = -3 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-7 + -2x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 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 = 4
-2x = 4

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

Simplifying
x = -2

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