5(x-3)-(x-2)=11

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Solution for 5(x-3)-(x-2)=11 equation:


Simplifying
5(x + -3) + -1(x + -2) = 11

Reorder the terms:
5(-3 + x) + -1(x + -2) = 11
(-3 * 5 + x * 5) + -1(x + -2) = 11
(-15 + 5x) + -1(x + -2) = 11

Reorder the terms:
-15 + 5x + -1(-2 + x) = 11
-15 + 5x + (-2 * -1 + x * -1) = 11
-15 + 5x + (2 + -1x) = 11

Reorder the terms:
-15 + 2 + 5x + -1x = 11

Combine like terms: -15 + 2 = -13
-13 + 5x + -1x = 11

Combine like terms: 5x + -1x = 4x
-13 + 4x = 11

Solving
-13 + 4x = 11

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 4x = 11 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = 11 + 13
4x = 11 + 13

Combine like terms: 11 + 13 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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