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

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


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

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

Reorder the terms:
-20 + 3x + 4x = 3(x + -2) + 6

Combine like terms: 3x + 4x = 7x
-20 + 7x = 3(x + -2) + 6

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

Reorder the terms:
-20 + 7x = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
-20 + 7x = 0 + 3x
-20 + 7x = 3x

Solving
-20 + 7x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-20 + 7x + -3x = 3x + -3x

Combine like terms: 7x + -3x = 4x
-20 + 4x = 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 4x = 0

Add '20' to each side of the equation.
-20 + 20 + 4x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = 0 + 20
4x = 0 + 20

Combine like terms: 0 + 20 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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