40x+45=3[7-2(7x-4)]

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Solution for 40x+45=3[7-2(7x-4)] equation:


Simplifying
40x + 45 = 3[7 + -2(7x + -4)]

Reorder the terms:
45 + 40x = 3[7 + -2(7x + -4)]

Reorder the terms:
45 + 40x = 3[7 + -2(-4 + 7x)]
45 + 40x = 3[7 + (-4 * -2 + 7x * -2)]
45 + 40x = 3[7 + (8 + -14x)]

Combine like terms: 7 + 8 = 15
45 + 40x = 3[15 + -14x]
45 + 40x = [15 * 3 + -14x * 3]
45 + 40x = [45 + -42x]

Add '-45' to each side of the equation.
45 + -45 + 40x = 45 + -45 + -42x

Combine like terms: 45 + -45 = 0
0 + 40x = 45 + -45 + -42x
40x = 45 + -45 + -42x

Combine like terms: 45 + -45 = 0
40x = 0 + -42x
40x = -42x

Solving
40x = -42x

Solving for variable 'x'.

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

Add '42x' to each side of the equation.
40x + 42x = -42x + 42x

Combine like terms: 40x + 42x = 82x
82x = -42x + 42x

Combine like terms: -42x + 42x = 0
82x = 0

Divide each side by '82'.
x = 0

Simplifying
x = 0

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