4(x-3)-(2x+1)=(x+7-2)-(-4x)

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Solution for 4(x-3)-(2x+1)=(x+7-2)-(-4x) equation:


Simplifying
4(x + -3) + -1(2x + 1) = (x + 7 + -2) + -1(-4x)

Reorder the terms:
4(-3 + x) + -1(2x + 1) = (x + 7 + -2) + -1(-4x)
(-3 * 4 + x * 4) + -1(2x + 1) = (x + 7 + -2) + -1(-4x)
(-12 + 4x) + -1(2x + 1) = (x + 7 + -2) + -1(-4x)

Reorder the terms:
-12 + 4x + -1(1 + 2x) = (x + 7 + -2) + -1(-4x)
-12 + 4x + (1 * -1 + 2x * -1) = (x + 7 + -2) + -1(-4x)
-12 + 4x + (-1 + -2x) = (x + 7 + -2) + -1(-4x)

Reorder the terms:
-12 + -1 + 4x + -2x = (x + 7 + -2) + -1(-4x)

Combine like terms: -12 + -1 = -13
-13 + 4x + -2x = (x + 7 + -2) + -1(-4x)

Combine like terms: 4x + -2x = 2x
-13 + 2x = (x + 7 + -2) + -1(-4x)

Reorder the terms:
-13 + 2x = (7 + -2 + x) + -1(-4x)

Combine like terms: 7 + -2 = 5
-13 + 2x = (5 + x) + -1(-4x)

Remove parenthesis around (5 + x)
-13 + 2x = 5 + x + -1(-4x)

Remove parenthesis around (-4x)
-13 + 2x = 5 + x + -1 * -4x

Multiply -1 * -4
-13 + 2x = 5 + x + 4x

Combine like terms: x + 4x = 5x
-13 + 2x = 5 + 5x

Solving
-13 + 2x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-13 + 2x + -5x = 5 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-13 + -3x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-13 + -3x = 5 + 0
-13 + -3x = 5

Add '13' to each side of the equation.
-13 + 13 + -3x = 5 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = 5 + 13
-3x = 5 + 13

Combine like terms: 5 + 13 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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