3(2x-4)+2x+5+4(2x-3)=13

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Solution for 3(2x-4)+2x+5+4(2x-3)=13 equation: 


Simplifying
3(2x + -4) + 2x + 5 + 4(2x + -3) = 13

Reorder the terms:
3(-4 + 2x) + 2x + 5 + 4(2x + -3) = 13
(-4 * 3 + 2x * 3) + 2x + 5 + 4(2x + -3) = 13
(-12 + 6x) + 2x + 5 + 4(2x + -3) = 13

Reorder the terms:
-12 + 6x + 2x + 5 + 4(-3 + 2x) = 13
-12 + 6x + 2x + 5 + (-3 * 4 + 2x * 4) = 13
-12 + 6x + 2x + 5 + (-12 + 8x) = 13

Reorder the terms:
-12 + 5 + -12 + 6x + 2x + 8x = 13

Combine like terms: -12 + 5 = -7
-7 + -12 + 6x + 2x + 8x = 13

Combine like terms: -7 + -12 = -19
-19 + 6x + 2x + 8x = 13

Combine like terms: 6x + 2x = 8x
-19 + 8x + 8x = 13

Combine like terms: 8x + 8x = 16x
-19 + 16x = 13

Solving
-19 + 16x = 13

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 + 16x = 13 + 19

Combine like terms: -19 + 19 = 0
0 + 16x = 13 + 19
16x = 13 + 19

Combine like terms: 13 + 19 = 32
16x = 32

Divide each side by '16'.
x = 2

Simplifying
x = 2

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