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

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


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

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

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

Reorder the terms:
-20 + -6 + 5x + -3x = x + 4

Combine like terms: -20 + -6 = -26
-26 + 5x + -3x = x + 4

Combine like terms: 5x + -3x = 2x
-26 + 2x = x + 4

Reorder the terms:
-26 + 2x = 4 + x

Solving
-26 + 2x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-26 + 2x + -1x = 4 + x + -1x

Combine like terms: 2x + -1x = 1x
-26 + 1x = 4 + x + -1x

Combine like terms: x + -1x = 0
-26 + 1x = 4 + 0
-26 + 1x = 4

Add '26' to each side of the equation.
-26 + 26 + 1x = 4 + 26

Combine like terms: -26 + 26 = 0
0 + 1x = 4 + 26
1x = 4 + 26

Combine like terms: 4 + 26 = 30
1x = 30

Divide each side by '1'.
x = 30

Simplifying
x = 30

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