-2(x+4)+3=6(x+4)+7

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Solution for -2(x+4)+3=6(x+4)+7 equation:


Simplifying
-2(x + 4) + 3 = 6(x + 4) + 7

Reorder the terms:
-2(4 + x) + 3 = 6(x + 4) + 7
(4 * -2 + x * -2) + 3 = 6(x + 4) + 7
(-8 + -2x) + 3 = 6(x + 4) + 7

Reorder the terms:
-8 + 3 + -2x = 6(x + 4) + 7

Combine like terms: -8 + 3 = -5
-5 + -2x = 6(x + 4) + 7

Reorder the terms:
-5 + -2x = 6(4 + x) + 7
-5 + -2x = (4 * 6 + x * 6) + 7
-5 + -2x = (24 + 6x) + 7

Reorder the terms:
-5 + -2x = 24 + 7 + 6x

Combine like terms: 24 + 7 = 31
-5 + -2x = 31 + 6x

Solving
-5 + -2x = 31 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + -2x + -6x = 31 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-5 + -8x = 31 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -8x = 31 + 0
-5 + -8x = 31

Add '5' to each side of the equation.
-5 + 5 + -8x = 31 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = 31 + 5
-8x = 31 + 5

Combine like terms: 31 + 5 = 36
-8x = 36

Divide each side by '-8'.
x = -4.5

Simplifying
x = -4.5

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