4(x-4)-3=6(8-x)-17

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Solution for 4(x-4)-3=6(8-x)-17 equation:


Simplifying
4(x + -4) + -3 = 6(8 + -1x) + -17

Reorder the terms:
4(-4 + x) + -3 = 6(8 + -1x) + -17
(-4 * 4 + x * 4) + -3 = 6(8 + -1x) + -17
(-16 + 4x) + -3 = 6(8 + -1x) + -17

Reorder the terms:
-16 + -3 + 4x = 6(8 + -1x) + -17

Combine like terms: -16 + -3 = -19
-19 + 4x = 6(8 + -1x) + -17
-19 + 4x = (8 * 6 + -1x * 6) + -17
-19 + 4x = (48 + -6x) + -17

Reorder the terms:
-19 + 4x = 48 + -17 + -6x

Combine like terms: 48 + -17 = 31
-19 + 4x = 31 + -6x

Solving
-19 + 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.
-19 + 4x + 6x = 31 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-19 + 10x = 31 + -6x + 6x

Combine like terms: -6x + 6x = 0
-19 + 10x = 31 + 0
-19 + 10x = 31

Add '19' to each side of the equation.
-19 + 19 + 10x = 31 + 19

Combine like terms: -19 + 19 = 0
0 + 10x = 31 + 19
10x = 31 + 19

Combine like terms: 31 + 19 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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