3x+7-5(1-4x)+9=2(7x-2)+3(2x+11)

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Solution for 3x+7-5(1-4x)+9=2(7x-2)+3(2x+11) equation:


Simplifying
3x + 7 + -5(1 + -4x) + 9 = 2(7x + -2) + 3(2x + 11)
3x + 7 + (1 * -5 + -4x * -5) + 9 = 2(7x + -2) + 3(2x + 11)
3x + 7 + (-5 + 20x) + 9 = 2(7x + -2) + 3(2x + 11)

Reorder the terms:
7 + -5 + 9 + 3x + 20x = 2(7x + -2) + 3(2x + 11)

Combine like terms: 7 + -5 = 2
2 + 9 + 3x + 20x = 2(7x + -2) + 3(2x + 11)

Combine like terms: 2 + 9 = 11
11 + 3x + 20x = 2(7x + -2) + 3(2x + 11)

Combine like terms: 3x + 20x = 23x
11 + 23x = 2(7x + -2) + 3(2x + 11)

Reorder the terms:
11 + 23x = 2(-2 + 7x) + 3(2x + 11)
11 + 23x = (-2 * 2 + 7x * 2) + 3(2x + 11)
11 + 23x = (-4 + 14x) + 3(2x + 11)

Reorder the terms:
11 + 23x = -4 + 14x + 3(11 + 2x)
11 + 23x = -4 + 14x + (11 * 3 + 2x * 3)
11 + 23x = -4 + 14x + (33 + 6x)

Reorder the terms:
11 + 23x = -4 + 33 + 14x + 6x

Combine like terms: -4 + 33 = 29
11 + 23x = 29 + 14x + 6x

Combine like terms: 14x + 6x = 20x
11 + 23x = 29 + 20x

Solving
11 + 23x = 29 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
11 + 23x + -20x = 29 + 20x + -20x

Combine like terms: 23x + -20x = 3x
11 + 3x = 29 + 20x + -20x

Combine like terms: 20x + -20x = 0
11 + 3x = 29 + 0
11 + 3x = 29

Add '-11' to each side of the equation.
11 + -11 + 3x = 29 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 29 + -11
3x = 29 + -11

Combine like terms: 29 + -11 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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