-4(x+5)+3=6(x+4)+1

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Solution for -4(x+5)+3=6(x+4)+1 equation:


Simplifying
-4(x + 5) + 3 = 6(x + 4) + 1

Reorder the terms:
-4(5 + x) + 3 = 6(x + 4) + 1
(5 * -4 + x * -4) + 3 = 6(x + 4) + 1
(-20 + -4x) + 3 = 6(x + 4) + 1

Reorder the terms:
-20 + 3 + -4x = 6(x + 4) + 1

Combine like terms: -20 + 3 = -17
-17 + -4x = 6(x + 4) + 1

Reorder the terms:
-17 + -4x = 6(4 + x) + 1
-17 + -4x = (4 * 6 + x * 6) + 1
-17 + -4x = (24 + 6x) + 1

Reorder the terms:
-17 + -4x = 24 + 1 + 6x

Combine like terms: 24 + 1 = 25
-17 + -4x = 25 + 6x

Solving
-17 + -4x = 25 + 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.
-17 + -4x + -6x = 25 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-17 + -10x = 25 + 6x + -6x

Combine like terms: 6x + -6x = 0
-17 + -10x = 25 + 0
-17 + -10x = 25

Add '17' to each side of the equation.
-17 + 17 + -10x = 25 + 17

Combine like terms: -17 + 17 = 0
0 + -10x = 25 + 17
-10x = 25 + 17

Combine like terms: 25 + 17 = 42
-10x = 42

Divide each side by '-10'.
x = -4.2

Simplifying
x = -4.2

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