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

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


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

Reorder the terms:
8(-4 + x) + 3x = 11 + -2(x + 2)
(-4 * 8 + x * 8) + 3x = 11 + -2(x + 2)
(-32 + 8x) + 3x = 11 + -2(x + 2)

Combine like terms: 8x + 3x = 11x
-32 + 11x = 11 + -2(x + 2)

Reorder the terms:
-32 + 11x = 11 + -2(2 + x)
-32 + 11x = 11 + (2 * -2 + x * -2)
-32 + 11x = 11 + (-4 + -2x)

Combine like terms: 11 + -4 = 7
-32 + 11x = 7 + -2x

Solving
-32 + 11x = 7 + -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.
-32 + 11x + 2x = 7 + -2x + 2x

Combine like terms: 11x + 2x = 13x
-32 + 13x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
-32 + 13x = 7 + 0
-32 + 13x = 7

Add '32' to each side of the equation.
-32 + 32 + 13x = 7 + 32

Combine like terms: -32 + 32 = 0
0 + 13x = 7 + 32
13x = 7 + 32

Combine like terms: 7 + 32 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3

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