46=4x-6(7x+24)

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Solution for 46=4x-6(7x+24) equation: 


Simplifying
46 = 4x + -6(7x + 24)

Reorder the terms:
46 = 4x + -6(24 + 7x)
46 = 4x + (24 * -6 + 7x * -6)
46 = 4x + (-144 + -42x)

Reorder the terms:
46 = -144 + 4x + -42x

Combine like terms: 4x + -42x = -38x
46 = -144 + -38x

Solving
46 = -144 + -38x

Solving for variable 'x'.

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

Add '38x' to each side of the equation.
46 + 38x = -144 + -38x + 38x

Combine like terms: -38x + 38x = 0
46 + 38x = -144 + 0
46 + 38x = -144

Add '-46' to each side of the equation.
46 + -46 + 38x = -144 + -46

Combine like terms: 46 + -46 = 0
0 + 38x = -144 + -46
38x = -144 + -46

Combine like terms: -144 + -46 = -190
38x = -190

Divide each side by '38'.
x = -5

Simplifying
x = -5

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