2(3x-5)-8=4(x-8)+46

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Solution for 2(3x-5)-8=4(x-8)+46 equation: 


Simplifying
2(3x + -5) + -8 = 4(x + -8) + 46

Reorder the terms:
2(-5 + 3x) + -8 = 4(x + -8) + 46
(-5 * 2 + 3x * 2) + -8 = 4(x + -8) + 46
(-10 + 6x) + -8 = 4(x + -8) + 46

Reorder the terms:
-10 + -8 + 6x = 4(x + -8) + 46

Combine like terms: -10 + -8 = -18
-18 + 6x = 4(x + -8) + 46

Reorder the terms:
-18 + 6x = 4(-8 + x) + 46
-18 + 6x = (-8 * 4 + x * 4) + 46
-18 + 6x = (-32 + 4x) + 46

Reorder the terms:
-18 + 6x = -32 + 46 + 4x

Combine like terms: -32 + 46 = 14
-18 + 6x = 14 + 4x

Solving
-18 + 6x = 14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-18 + 6x + -4x = 14 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-18 + 2x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + 2x = 14 + 0
-18 + 2x = 14

Add '18' to each side of the equation.
-18 + 18 + 2x = 14 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 14 + 18
2x = 14 + 18

Combine like terms: 14 + 18 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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