11x-4(x+3)=2(x-8)+19

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Solution for 11x-4(x+3)=2(x-8)+19 equation:


Simplifying
11x + -4(x + 3) = 2(x + -8) + 19

Reorder the terms:
11x + -4(3 + x) = 2(x + -8) + 19
11x + (3 * -4 + x * -4) = 2(x + -8) + 19
11x + (-12 + -4x) = 2(x + -8) + 19

Reorder the terms:
-12 + 11x + -4x = 2(x + -8) + 19

Combine like terms: 11x + -4x = 7x
-12 + 7x = 2(x + -8) + 19

Reorder the terms:
-12 + 7x = 2(-8 + x) + 19
-12 + 7x = (-8 * 2 + x * 2) + 19
-12 + 7x = (-16 + 2x) + 19

Reorder the terms:
-12 + 7x = -16 + 19 + 2x

Combine like terms: -16 + 19 = 3
-12 + 7x = 3 + 2x

Solving
-12 + 7x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 7x + -2x = 3 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-12 + 5x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 5x = 3 + 0
-12 + 5x = 3

Add '12' to each side of the equation.
-12 + 12 + 5x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 3 + 12
5x = 3 + 12

Combine like terms: 3 + 12 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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