8(x+2)-3(3x-1)=4x+4

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Solution for 8(x+2)-3(3x-1)=4x+4 equation:


Simplifying
8(x + 2) + -3(3x + -1) = 4x + 4

Reorder the terms:
8(2 + x) + -3(3x + -1) = 4x + 4
(2 * 8 + x * 8) + -3(3x + -1) = 4x + 4
(16 + 8x) + -3(3x + -1) = 4x + 4

Reorder the terms:
16 + 8x + -3(-1 + 3x) = 4x + 4
16 + 8x + (-1 * -3 + 3x * -3) = 4x + 4
16 + 8x + (3 + -9x) = 4x + 4

Reorder the terms:
16 + 3 + 8x + -9x = 4x + 4

Combine like terms: 16 + 3 = 19
19 + 8x + -9x = 4x + 4

Combine like terms: 8x + -9x = -1x
19 + -1x = 4x + 4

Reorder the terms:
19 + -1x = 4 + 4x

Solving
19 + -1x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
19 + -1x + -4x = 4 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
19 + -5x = 4 + 0
19 + -5x = 4

Add '-19' to each side of the equation.
19 + -19 + -5x = 4 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = 4 + -19
-5x = 4 + -19

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

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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