-4(x+6)+3=6(x+3)+8

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Solution for -4(x+6)+3=6(x+3)+8 equation:


Simplifying
-4(x + 6) + 3 = 6(x + 3) + 8

Reorder the terms:
-4(6 + x) + 3 = 6(x + 3) + 8
(6 * -4 + x * -4) + 3 = 6(x + 3) + 8
(-24 + -4x) + 3 = 6(x + 3) + 8

Reorder the terms:
-24 + 3 + -4x = 6(x + 3) + 8

Combine like terms: -24 + 3 = -21
-21 + -4x = 6(x + 3) + 8

Reorder the terms:
-21 + -4x = 6(3 + x) + 8
-21 + -4x = (3 * 6 + x * 6) + 8
-21 + -4x = (18 + 6x) + 8

Reorder the terms:
-21 + -4x = 18 + 8 + 6x

Combine like terms: 18 + 8 = 26
-21 + -4x = 26 + 6x

Solving
-21 + -4x = 26 + 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.
-21 + -4x + -6x = 26 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-21 + -10x = 26 + 6x + -6x

Combine like terms: 6x + -6x = 0
-21 + -10x = 26 + 0
-21 + -10x = 26

Add '21' to each side of the equation.
-21 + 21 + -10x = 26 + 21

Combine like terms: -21 + 21 = 0
0 + -10x = 26 + 21
-10x = 26 + 21

Combine like terms: 26 + 21 = 47
-10x = 47

Divide each side by '-10'.
x = -4.7

Simplifying
x = -4.7

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