46=7x+2(-6x+3)

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Solution for 46=7x+2(-6x+3) equation:


Simplifying
46 = 7x + 2(-6x + 3)

Reorder the terms:
46 = 7x + 2(3 + -6x)
46 = 7x + (3 * 2 + -6x * 2)
46 = 7x + (6 + -12x)

Reorder the terms:
46 = 6 + 7x + -12x

Combine like terms: 7x + -12x = -5x
46 = 6 + -5x

Solving
46 = 6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
46 + 5x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
46 + 5x = 6 + 0
46 + 5x = 6

Add '-46' to each side of the equation.
46 + -46 + 5x = 6 + -46

Combine like terms: 46 + -46 = 0
0 + 5x = 6 + -46
5x = 6 + -46

Combine like terms: 6 + -46 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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