4(x-3)-5(x+8)=6(x+2)-2

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Solution for 4(x-3)-5(x+8)=6(x+2)-2 equation:


Simplifying
4(x + -3) + -5(x + 8) = 6(x + 2) + -2

Reorder the terms:
4(-3 + x) + -5(x + 8) = 6(x + 2) + -2
(-3 * 4 + x * 4) + -5(x + 8) = 6(x + 2) + -2
(-12 + 4x) + -5(x + 8) = 6(x + 2) + -2

Reorder the terms:
-12 + 4x + -5(8 + x) = 6(x + 2) + -2
-12 + 4x + (8 * -5 + x * -5) = 6(x + 2) + -2
-12 + 4x + (-40 + -5x) = 6(x + 2) + -2

Reorder the terms:
-12 + -40 + 4x + -5x = 6(x + 2) + -2

Combine like terms: -12 + -40 = -52
-52 + 4x + -5x = 6(x + 2) + -2

Combine like terms: 4x + -5x = -1x
-52 + -1x = 6(x + 2) + -2

Reorder the terms:
-52 + -1x = 6(2 + x) + -2
-52 + -1x = (2 * 6 + x * 6) + -2
-52 + -1x = (12 + 6x) + -2

Reorder the terms:
-52 + -1x = 12 + -2 + 6x

Combine like terms: 12 + -2 = 10
-52 + -1x = 10 + 6x

Solving
-52 + -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.
-52 + -1x + -6x = 10 + 6x + -6x

Combine like terms: -1x + -6x = -7x
-52 + -7x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-52 + -7x = 10 + 0
-52 + -7x = 10

Add '52' to each side of the equation.
-52 + 52 + -7x = 10 + 52

Combine like terms: -52 + 52 = 0
0 + -7x = 10 + 52
-7x = 10 + 52

Combine like terms: 10 + 52 = 62
-7x = 62

Divide each side by '-7'.
x = -8.857142857

Simplifying
x = -8.857142857

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