4(4x-1)+5x=3(-2+8x)+8

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Solution for 4(4x-1)+5x=3(-2+8x)+8 equation:


Simplifying
4(4x + -1) + 5x = 3(-2 + 8x) + 8

Reorder the terms:
4(-1 + 4x) + 5x = 3(-2 + 8x) + 8
(-1 * 4 + 4x * 4) + 5x = 3(-2 + 8x) + 8
(-4 + 16x) + 5x = 3(-2 + 8x) + 8

Combine like terms: 16x + 5x = 21x
-4 + 21x = 3(-2 + 8x) + 8
-4 + 21x = (-2 * 3 + 8x * 3) + 8
-4 + 21x = (-6 + 24x) + 8

Reorder the terms:
-4 + 21x = -6 + 8 + 24x

Combine like terms: -6 + 8 = 2
-4 + 21x = 2 + 24x

Solving
-4 + 21x = 2 + 24x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24x' to each side of the equation.
-4 + 21x + -24x = 2 + 24x + -24x

Combine like terms: 21x + -24x = -3x
-4 + -3x = 2 + 24x + -24x

Combine like terms: 24x + -24x = 0
-4 + -3x = 2 + 0
-4 + -3x = 2

Add '4' to each side of the equation.
-4 + 4 + -3x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 2 + 4
-3x = 2 + 4

Combine like terms: 2 + 4 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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