4-(2x+1)=9+4(x+3)

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Solution for 4-(2x+1)=9+4(x+3) equation:


Simplifying
4 + -1(2x + 1) = 9 + 4(x + 3)

Reorder the terms:
4 + -1(1 + 2x) = 9 + 4(x + 3)
4 + (1 * -1 + 2x * -1) = 9 + 4(x + 3)
4 + (-1 + -2x) = 9 + 4(x + 3)

Combine like terms: 4 + -1 = 3
3 + -2x = 9 + 4(x + 3)

Reorder the terms:
3 + -2x = 9 + 4(3 + x)
3 + -2x = 9 + (3 * 4 + x * 4)
3 + -2x = 9 + (12 + 4x)

Combine like terms: 9 + 12 = 21
3 + -2x = 21 + 4x

Solving
3 + -2x = 21 + 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.
3 + -2x + -4x = 21 + 4x + -4x

Combine like terms: -2x + -4x = -6x
3 + -6x = 21 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -6x = 21 + 0
3 + -6x = 21

Add '-3' to each side of the equation.
3 + -3 + -6x = 21 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = 21 + -3
-6x = 21 + -3

Combine like terms: 21 + -3 = 18
-6x = 18

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

Simplifying
x = -3

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