46=4x+3(2x-18)

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Solution for 46=4x+3(2x-18) equation: 


Simplifying
46 = 4x + 3(2x + -18)

Reorder the terms:
46 = 4x + 3(-18 + 2x)
46 = 4x + (-18 * 3 + 2x * 3)
46 = 4x + (-54 + 6x)

Reorder the terms:
46 = -54 + 4x + 6x

Combine like terms: 4x + 6x = 10x
46 = -54 + 10x

Solving
46 = -54 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
46 + -10x = -54 + 10x + -10x

Combine like terms: 10x + -10x = 0
46 + -10x = -54 + 0
46 + -10x = -54

Add '-46' to each side of the equation.
46 + -46 + -10x = -54 + -46

Combine like terms: 46 + -46 = 0
0 + -10x = -54 + -46
-10x = -54 + -46

Combine like terms: -54 + -46 = -100
-10x = -100

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

Simplifying
x = 10

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