5(x-3)-4(x+1)=-11

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Solution for 5(x-3)-4(x+1)=-11 equation:


Simplifying
5(x + -3) + -4(x + 1) = -11

Reorder the terms:
5(-3 + x) + -4(x + 1) = -11
(-3 * 5 + x * 5) + -4(x + 1) = -11
(-15 + 5x) + -4(x + 1) = -11

Reorder the terms:
-15 + 5x + -4(1 + x) = -11
-15 + 5x + (1 * -4 + x * -4) = -11
-15 + 5x + (-4 + -4x) = -11

Reorder the terms:
-15 + -4 + 5x + -4x = -11

Combine like terms: -15 + -4 = -19
-19 + 5x + -4x = -11

Combine like terms: 5x + -4x = 1x
-19 + 1x = -11

Solving
-19 + 1x = -11

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 1x = -11 + 19

Combine like terms: -19 + 19 = 0
0 + 1x = -11 + 19
1x = -11 + 19

Combine like terms: -11 + 19 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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