4(3x-5)-6(x+1)=5(x-2)+11

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Solution for 4(3x-5)-6(x+1)=5(x-2)+11 equation:


Simplifying
4(3x + -5) + -6(x + 1) = 5(x + -2) + 11

Reorder the terms:
4(-5 + 3x) + -6(x + 1) = 5(x + -2) + 11
(-5 * 4 + 3x * 4) + -6(x + 1) = 5(x + -2) + 11
(-20 + 12x) + -6(x + 1) = 5(x + -2) + 11

Reorder the terms:
-20 + 12x + -6(1 + x) = 5(x + -2) + 11
-20 + 12x + (1 * -6 + x * -6) = 5(x + -2) + 11
-20 + 12x + (-6 + -6x) = 5(x + -2) + 11

Reorder the terms:
-20 + -6 + 12x + -6x = 5(x + -2) + 11

Combine like terms: -20 + -6 = -26
-26 + 12x + -6x = 5(x + -2) + 11

Combine like terms: 12x + -6x = 6x
-26 + 6x = 5(x + -2) + 11

Reorder the terms:
-26 + 6x = 5(-2 + x) + 11
-26 + 6x = (-2 * 5 + x * 5) + 11
-26 + 6x = (-10 + 5x) + 11

Reorder the terms:
-26 + 6x = -10 + 11 + 5x

Combine like terms: -10 + 11 = 1
-26 + 6x = 1 + 5x

Solving
-26 + 6x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-26 + 6x + -5x = 1 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-26 + 1x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-26 + 1x = 1 + 0
-26 + 1x = 1

Add '26' to each side of the equation.
-26 + 26 + 1x = 1 + 26

Combine like terms: -26 + 26 = 0
0 + 1x = 1 + 26
1x = 1 + 26

Combine like terms: 1 + 26 = 27
1x = 27

Divide each side by '1'.
x = 27

Simplifying
x = 27

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