7-6(x-1)+3(3-4x)=7+(7x-4)

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Solution for 7-6(x-1)+3(3-4x)=7+(7x-4) equation:


Simplifying
7 + -6(x + -1) + 3(3 + -4x) = 7 + (7x + -4)

Reorder the terms:
7 + -6(-1 + x) + 3(3 + -4x) = 7 + (7x + -4)
7 + (-1 * -6 + x * -6) + 3(3 + -4x) = 7 + (7x + -4)
7 + (6 + -6x) + 3(3 + -4x) = 7 + (7x + -4)
7 + 6 + -6x + (3 * 3 + -4x * 3) = 7 + (7x + -4)
7 + 6 + -6x + (9 + -12x) = 7 + (7x + -4)

Reorder the terms:
7 + 6 + 9 + -6x + -12x = 7 + (7x + -4)

Combine like terms: 7 + 6 = 13
13 + 9 + -6x + -12x = 7 + (7x + -4)

Combine like terms: 13 + 9 = 22
22 + -6x + -12x = 7 + (7x + -4)

Combine like terms: -6x + -12x = -18x
22 + -18x = 7 + (7x + -4)

Reorder the terms:
22 + -18x = 7 + (-4 + 7x)

Remove parenthesis around (-4 + 7x)
22 + -18x = 7 + -4 + 7x

Combine like terms: 7 + -4 = 3
22 + -18x = 3 + 7x

Solving
22 + -18x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
22 + -18x + -7x = 3 + 7x + -7x

Combine like terms: -18x + -7x = -25x
22 + -25x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
22 + -25x = 3 + 0
22 + -25x = 3

Add '-22' to each side of the equation.
22 + -22 + -25x = 3 + -22

Combine like terms: 22 + -22 = 0
0 + -25x = 3 + -22
-25x = 3 + -22

Combine like terms: 3 + -22 = -19
-25x = -19

Divide each side by '-25'.
x = 0.76

Simplifying
x = 0.76

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