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

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Solution for 7(x-2)-3(x-3)=11 equation:


Simplifying
7(x + -2) + -3(x + -3) = 11

Reorder the terms:
7(-2 + x) + -3(x + -3) = 11
(-2 * 7 + x * 7) + -3(x + -3) = 11
(-14 + 7x) + -3(x + -3) = 11

Reorder the terms:
-14 + 7x + -3(-3 + x) = 11
-14 + 7x + (-3 * -3 + x * -3) = 11
-14 + 7x + (9 + -3x) = 11

Reorder the terms:
-14 + 9 + 7x + -3x = 11

Combine like terms: -14 + 9 = -5
-5 + 7x + -3x = 11

Combine like terms: 7x + -3x = 4x
-5 + 4x = 11

Solving
-5 + 4x = 11

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 4x = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 11 + 5
4x = 11 + 5

Combine like terms: 11 + 5 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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