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

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


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

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

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

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

Combine like terms: 7 + 12 = 19
1 + -2x = 19 + 4x

Solving
1 + -2x = 19 + 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 = 19 + 4x + -4x

Combine like terms: -2x + -4x = -6x
1 + -6x = 19 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -6x = 19 + 0
1 + -6x = 19

Add '-1' to each side of the equation.
1 + -1 + -6x = 19 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 19 + -1
-6x = 19 + -1

Combine like terms: 19 + -1 = 18
-6x = 18

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

Simplifying
x = -3

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