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

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


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

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

Combine like terms: 2 + -3 = -1
-1 + -2x = 7 + 4(x + 4)

Reorder the terms:
-1 + -2x = 7 + 4(4 + x)
-1 + -2x = 7 + (4 * 4 + x * 4)
-1 + -2x = 7 + (16 + 4x)

Combine like terms: 7 + 16 = 23
-1 + -2x = 23 + 4x

Solving
-1 + -2x = 23 + 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 = 23 + 4x + -4x

Combine like terms: -2x + -4x = -6x
-1 + -6x = 23 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -6x = 23 + 0
-1 + -6x = 23

Add '1' to each side of the equation.
-1 + 1 + -6x = 23 + 1

Combine like terms: -1 + 1 = 0
0 + -6x = 23 + 1
-6x = 23 + 1

Combine like terms: 23 + 1 = 24
-6x = 24

Divide each side by '-6'.
x = -4

Simplifying
x = -4

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