7(3-2x)-3(2x-13)=4(7-5x)-2(3x-11)

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Solution for 7(3-2x)-3(2x-13)=4(7-5x)-2(3x-11) equation: 


Simplifying
7(3 + -2x) + -3(2x + -13) = 4(7 + -5x) + -2(3x + -11)
(3 * 7 + -2x * 7) + -3(2x + -13) = 4(7 + -5x) + -2(3x + -11)
(21 + -14x) + -3(2x + -13) = 4(7 + -5x) + -2(3x + -11)

Reorder the terms:
21 + -14x + -3(-13 + 2x) = 4(7 + -5x) + -2(3x + -11)
21 + -14x + (-13 * -3 + 2x * -3) = 4(7 + -5x) + -2(3x + -11)
21 + -14x + (39 + -6x) = 4(7 + -5x) + -2(3x + -11)

Reorder the terms:
21 + 39 + -14x + -6x = 4(7 + -5x) + -2(3x + -11)

Combine like terms: 21 + 39 = 60
60 + -14x + -6x = 4(7 + -5x) + -2(3x + -11)

Combine like terms: -14x + -6x = -20x
60 + -20x = 4(7 + -5x) + -2(3x + -11)
60 + -20x = (7 * 4 + -5x * 4) + -2(3x + -11)
60 + -20x = (28 + -20x) + -2(3x + -11)

Reorder the terms:
60 + -20x = 28 + -20x + -2(-11 + 3x)
60 + -20x = 28 + -20x + (-11 * -2 + 3x * -2)
60 + -20x = 28 + -20x + (22 + -6x)

Reorder the terms:
60 + -20x = 28 + 22 + -20x + -6x

Combine like terms: 28 + 22 = 50
60 + -20x = 50 + -20x + -6x

Combine like terms: -20x + -6x = -26x
60 + -20x = 50 + -26x

Solving
60 + -20x = 50 + -26x

Solving for variable 'x'.

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

Add '26x' to each side of the equation.
60 + -20x + 26x = 50 + -26x + 26x

Combine like terms: -20x + 26x = 6x
60 + 6x = 50 + -26x + 26x

Combine like terms: -26x + 26x = 0
60 + 6x = 50 + 0
60 + 6x = 50

Add '-60' to each side of the equation.
60 + -60 + 6x = 50 + -60

Combine like terms: 60 + -60 = 0
0 + 6x = 50 + -60
6x = 50 + -60

Combine like terms: 50 + -60 = -10
6x = -10

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667

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