-2(x+3)+5=6(x+4)+3

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Solution for -2(x+3)+5=6(x+4)+3 equation:


Simplifying
-2(x + 3) + 5 = 6(x + 4) + 3

Reorder the terms:
-2(3 + x) + 5 = 6(x + 4) + 3
(3 * -2 + x * -2) + 5 = 6(x + 4) + 3
(-6 + -2x) + 5 = 6(x + 4) + 3

Reorder the terms:
-6 + 5 + -2x = 6(x + 4) + 3

Combine like terms: -6 + 5 = -1
-1 + -2x = 6(x + 4) + 3

Reorder the terms:
-1 + -2x = 6(4 + x) + 3
-1 + -2x = (4 * 6 + x * 6) + 3
-1 + -2x = (24 + 6x) + 3

Reorder the terms:
-1 + -2x = 24 + 3 + 6x

Combine like terms: 24 + 3 = 27
-1 + -2x = 27 + 6x

Solving
-1 + -2x = 27 + 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.
-1 + -2x + -6x = 27 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-1 + -8x = 27 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -8x = 27 + 0
-1 + -8x = 27

Add '1' to each side of the equation.
-1 + 1 + -8x = 27 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = 27 + 1
-8x = 27 + 1

Combine like terms: 27 + 1 = 28
-8x = 28

Divide each side by '-8'.
x = -3.5

Simplifying
x = -3.5

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