7x-2(x-3)=5(x+1)+3(7-4x)

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Solution for 7x-2(x-3)=5(x+1)+3(7-4x) equation:


Simplifying
7x + -2(x + -3) = 5(x + 1) + 3(7 + -4x)

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

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

Combine like terms: 7x + -2x = 5x
6 + 5x = 5(x + 1) + 3(7 + -4x)

Reorder the terms:
6 + 5x = 5(1 + x) + 3(7 + -4x)
6 + 5x = (1 * 5 + x * 5) + 3(7 + -4x)
6 + 5x = (5 + 5x) + 3(7 + -4x)
6 + 5x = 5 + 5x + (7 * 3 + -4x * 3)
6 + 5x = 5 + 5x + (21 + -12x)

Reorder the terms:
6 + 5x = 5 + 21 + 5x + -12x

Combine like terms: 5 + 21 = 26
6 + 5x = 26 + 5x + -12x

Combine like terms: 5x + -12x = -7x
6 + 5x = 26 + -7x

Solving
6 + 5x = 26 + -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.
6 + 5x + 7x = 26 + -7x + 7x

Combine like terms: 5x + 7x = 12x
6 + 12x = 26 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 12x = 26 + 0
6 + 12x = 26

Add '-6' to each side of the equation.
6 + -6 + 12x = 26 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = 26 + -6
12x = 26 + -6

Combine like terms: 26 + -6 = 20
12x = 20

Divide each side by '12'.
x = 1.666666667

Simplifying
x = 1.666666667

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