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

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


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

Reorder the terms:
4(1 + x) + -3(2x + 3) = 3(11 + -4x) + 2(3x + -7)
(1 * 4 + x * 4) + -3(2x + 3) = 3(11 + -4x) + 2(3x + -7)
(4 + 4x) + -3(2x + 3) = 3(11 + -4x) + 2(3x + -7)

Reorder the terms:
4 + 4x + -3(3 + 2x) = 3(11 + -4x) + 2(3x + -7)
4 + 4x + (3 * -3 + 2x * -3) = 3(11 + -4x) + 2(3x + -7)
4 + 4x + (-9 + -6x) = 3(11 + -4x) + 2(3x + -7)

Reorder the terms:
4 + -9 + 4x + -6x = 3(11 + -4x) + 2(3x + -7)

Combine like terms: 4 + -9 = -5
-5 + 4x + -6x = 3(11 + -4x) + 2(3x + -7)

Combine like terms: 4x + -6x = -2x
-5 + -2x = 3(11 + -4x) + 2(3x + -7)
-5 + -2x = (11 * 3 + -4x * 3) + 2(3x + -7)
-5 + -2x = (33 + -12x) + 2(3x + -7)

Reorder the terms:
-5 + -2x = 33 + -12x + 2(-7 + 3x)
-5 + -2x = 33 + -12x + (-7 * 2 + 3x * 2)
-5 + -2x = 33 + -12x + (-14 + 6x)

Reorder the terms:
-5 + -2x = 33 + -14 + -12x + 6x

Combine like terms: 33 + -14 = 19
-5 + -2x = 19 + -12x + 6x

Combine like terms: -12x + 6x = -6x
-5 + -2x = 19 + -6x

Solving
-5 + -2x = 19 + -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.
-5 + -2x + 6x = 19 + -6x + 6x

Combine like terms: -2x + 6x = 4x
-5 + 4x = 19 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 4x = 19 + 0
-5 + 4x = 19

Add '5' to each side of the equation.
-5 + 5 + 4x = 19 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 19 + 5
4x = 19 + 5

Combine like terms: 19 + 5 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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