5-2[3x-4(5-x)]=6(7-x)

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Solution for 5-2[3x-4(5-x)]=6(7-x) equation:


Simplifying
5 + -2[3x + -4(5 + -1x)] = 6(7 + -1x)
5 + -2[3x + (5 * -4 + -1x * -4)] = 6(7 + -1x)
5 + -2[3x + (-20 + 4x)] = 6(7 + -1x)

Reorder the terms:
5 + -2[-20 + 3x + 4x] = 6(7 + -1x)

Combine like terms: 3x + 4x = 7x
5 + -2[-20 + 7x] = 6(7 + -1x)
5 + [-20 * -2 + 7x * -2] = 6(7 + -1x)
5 + [40 + -14x] = 6(7 + -1x)

Combine like terms: 5 + 40 = 45
45 + -14x = 6(7 + -1x)
45 + -14x = (7 * 6 + -1x * 6)
45 + -14x = (42 + -6x)

Solving
45 + -14x = 42 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
45 + -14x + 6x = 42 + -6x + 6x

Combine like terms: -14x + 6x = -8x
45 + -8x = 42 + -6x + 6x

Combine like terms: -6x + 6x = 0
45 + -8x = 42 + 0
45 + -8x = 42

Add '-45' to each side of the equation.
45 + -45 + -8x = 42 + -45

Combine like terms: 45 + -45 = 0
0 + -8x = 42 + -45
-8x = 42 + -45

Combine like terms: 42 + -45 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375

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