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

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


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

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

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

Combine like terms: 3x + -1x = 2x
-1 + 2x = -3 + 4(x + -3)

Reorder the terms:
-1 + 2x = -3 + 4(-3 + x)
-1 + 2x = -3 + (-3 * 4 + x * 4)
-1 + 2x = -3 + (-12 + 4x)

Combine like terms: -3 + -12 = -15
-1 + 2x = -15 + 4x

Solving
-1 + 2x = -15 + 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.
-1 + 2x + -4x = -15 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-1 + -2x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -2x = -15 + 0
-1 + -2x = -15

Add '1' to each side of the equation.
-1 + 1 + -2x = -15 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = -15 + 1
-2x = -15 + 1

Combine like terms: -15 + 1 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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