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

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


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

Reorder the terms:
3(-5 + x) + 6 = -4(x) + 5
(-5 * 3 + x * 3) + 6 = -4(x) + 5
(-15 + 3x) + 6 = -4(x) + 5

Reorder the terms:
-15 + 6 + 3x = -4(x) + 5

Combine like terms: -15 + 6 = -9
-9 + 3x = -4(x) + 5

Reorder the terms:
-9 + 3x = 5 + -4x

Solving
-9 + 3x = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-9 + 3x + 4x = 5 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-9 + 7x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + 7x = 5 + 0
-9 + 7x = 5

Add '9' to each side of the equation.
-9 + 9 + 7x = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 5 + 9
7x = 5 + 9

Combine like terms: 5 + 9 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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