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

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Solution for 6(x+5)-5(x-4)=11+3(2x-7) equation:


Simplifying
6(x + 5) + -5(x + -4) = 11 + 3(2x + -7)

Reorder the terms:
6(5 + x) + -5(x + -4) = 11 + 3(2x + -7)
(5 * 6 + x * 6) + -5(x + -4) = 11 + 3(2x + -7)
(30 + 6x) + -5(x + -4) = 11 + 3(2x + -7)

Reorder the terms:
30 + 6x + -5(-4 + x) = 11 + 3(2x + -7)
30 + 6x + (-4 * -5 + x * -5) = 11 + 3(2x + -7)
30 + 6x + (20 + -5x) = 11 + 3(2x + -7)

Reorder the terms:
30 + 20 + 6x + -5x = 11 + 3(2x + -7)

Combine like terms: 30 + 20 = 50
50 + 6x + -5x = 11 + 3(2x + -7)

Combine like terms: 6x + -5x = 1x
50 + 1x = 11 + 3(2x + -7)

Reorder the terms:
50 + 1x = 11 + 3(-7 + 2x)
50 + 1x = 11 + (-7 * 3 + 2x * 3)
50 + 1x = 11 + (-21 + 6x)

Combine like terms: 11 + -21 = -10
50 + 1x = -10 + 6x

Solving
50 + 1x = -10 + 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.
50 + 1x + -6x = -10 + 6x + -6x

Combine like terms: 1x + -6x = -5x
50 + -5x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
50 + -5x = -10 + 0
50 + -5x = -10

Add '-50' to each side of the equation.
50 + -50 + -5x = -10 + -50

Combine like terms: 50 + -50 = 0
0 + -5x = -10 + -50
-5x = -10 + -50

Combine like terms: -10 + -50 = -60
-5x = -60

Divide each side by '-5'.
x = 12

Simplifying
x = 12

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