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

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Solution for 4(x-3)-(2x+1)=x+3-3x equation:


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

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

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

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

Combine like terms: -12 + -1 = -13
-13 + 4x + -2x = x + 3 + -3x

Combine like terms: 4x + -2x = 2x
-13 + 2x = x + 3 + -3x

Reorder the terms:
-13 + 2x = 3 + x + -3x

Combine like terms: x + -3x = -2x
-13 + 2x = 3 + -2x

Solving
-13 + 2x = 3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-13 + 2x + 2x = 3 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-13 + 4x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-13 + 4x = 3 + 0
-13 + 4x = 3

Add '13' to each side of the equation.
-13 + 13 + 4x = 3 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = 3 + 13
4x = 3 + 13

Combine like terms: 3 + 13 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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