3(x-5)+6=2(x+5)-20

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Solution for 3(x-5)+6=2(x+5)-20 equation: 


Simplifying
3(x + -5) + 6 = 2(x + 5) + -20

Reorder the terms:
3(-5 + x) + 6 = 2(x + 5) + -20
(-5 * 3 + x * 3) + 6 = 2(x + 5) + -20
(-15 + 3x) + 6 = 2(x + 5) + -20

Reorder the terms:
-15 + 6 + 3x = 2(x + 5) + -20

Combine like terms: -15 + 6 = -9
-9 + 3x = 2(x + 5) + -20

Reorder the terms:
-9 + 3x = 2(5 + x) + -20
-9 + 3x = (5 * 2 + x * 2) + -20
-9 + 3x = (10 + 2x) + -20

Reorder the terms:
-9 + 3x = 10 + -20 + 2x

Combine like terms: 10 + -20 = -10
-9 + 3x = -10 + 2x

Solving
-9 + 3x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 3x + -2x = -10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-9 + 1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 1x = -10 + 0
-9 + 1x = -10

Add '9' to each side of the equation.
-9 + 9 + 1x = -10 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -10 + 9
1x = -10 + 9

Combine like terms: -10 + 9 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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