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

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Solution for 5(x-1)-2(x+6)=4 equation:


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

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

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

Reorder the terms:
-5 + -12 + 5x + -2x = 4

Combine like terms: -5 + -12 = -17
-17 + 5x + -2x = 4

Combine like terms: 5x + -2x = 3x
-17 + 3x = 4

Solving
-17 + 3x = 4

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 3x = 4 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = 4 + 17
3x = 4 + 17

Combine like terms: 4 + 17 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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