3(2x+4)-5(1-2x)=8(3x-4)-2x+3

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Solution for 3(2x+4)-5(1-2x)=8(3x-4)-2x+3 equation:


Simplifying
3(2x + 4) + -5(1 + -2x) = 8(3x + -4) + -2x + 3

Reorder the terms:
3(4 + 2x) + -5(1 + -2x) = 8(3x + -4) + -2x + 3
(4 * 3 + 2x * 3) + -5(1 + -2x) = 8(3x + -4) + -2x + 3
(12 + 6x) + -5(1 + -2x) = 8(3x + -4) + -2x + 3
12 + 6x + (1 * -5 + -2x * -5) = 8(3x + -4) + -2x + 3
12 + 6x + (-5 + 10x) = 8(3x + -4) + -2x + 3

Reorder the terms:
12 + -5 + 6x + 10x = 8(3x + -4) + -2x + 3

Combine like terms: 12 + -5 = 7
7 + 6x + 10x = 8(3x + -4) + -2x + 3

Combine like terms: 6x + 10x = 16x
7 + 16x = 8(3x + -4) + -2x + 3

Reorder the terms:
7 + 16x = 8(-4 + 3x) + -2x + 3
7 + 16x = (-4 * 8 + 3x * 8) + -2x + 3
7 + 16x = (-32 + 24x) + -2x + 3

Reorder the terms:
7 + 16x = -32 + 3 + 24x + -2x

Combine like terms: -32 + 3 = -29
7 + 16x = -29 + 24x + -2x

Combine like terms: 24x + -2x = 22x
7 + 16x = -29 + 22x

Solving
7 + 16x = -29 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
7 + 16x + -22x = -29 + 22x + -22x

Combine like terms: 16x + -22x = -6x
7 + -6x = -29 + 22x + -22x

Combine like terms: 22x + -22x = 0
7 + -6x = -29 + 0
7 + -6x = -29

Add '-7' to each side of the equation.
7 + -7 + -6x = -29 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = -29 + -7
-6x = -29 + -7

Combine like terms: -29 + -7 = -36
-6x = -36

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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