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

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


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

Reorder the terms:
-4(4 + x) + 4 = 6(x + 5) + 1
(4 * -4 + x * -4) + 4 = 6(x + 5) + 1
(-16 + -4x) + 4 = 6(x + 5) + 1

Reorder the terms:
-16 + 4 + -4x = 6(x + 5) + 1

Combine like terms: -16 + 4 = -12
-12 + -4x = 6(x + 5) + 1

Reorder the terms:
-12 + -4x = 6(5 + x) + 1
-12 + -4x = (5 * 6 + x * 6) + 1
-12 + -4x = (30 + 6x) + 1

Reorder the terms:
-12 + -4x = 30 + 1 + 6x

Combine like terms: 30 + 1 = 31
-12 + -4x = 31 + 6x

Solving
-12 + -4x = 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.
-12 + -4x + -6x = 31 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-12 + -10x = 31 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -10x = 31 + 0
-12 + -10x = 31

Add '12' to each side of the equation.
-12 + 12 + -10x = 31 + 12

Combine like terms: -12 + 12 = 0
0 + -10x = 31 + 12
-10x = 31 + 12

Combine like terms: 31 + 12 = 43
-10x = 43

Divide each side by '-10'.
x = -4.3

Simplifying
x = -4.3

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