8(2x-1)=7(x+4)+3x

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Solution for 8(2x-1)=7(x+4)+3x equation:


Simplifying
8(2x + -1) = 7(x + 4) + 3x

Reorder the terms:
8(-1 + 2x) = 7(x + 4) + 3x
(-1 * 8 + 2x * 8) = 7(x + 4) + 3x
(-8 + 16x) = 7(x + 4) + 3x

Reorder the terms:
-8 + 16x = 7(4 + x) + 3x
-8 + 16x = (4 * 7 + x * 7) + 3x
-8 + 16x = (28 + 7x) + 3x

Combine like terms: 7x + 3x = 10x
-8 + 16x = 28 + 10x

Solving
-8 + 16x = 28 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-8 + 16x + -10x = 28 + 10x + -10x

Combine like terms: 16x + -10x = 6x
-8 + 6x = 28 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + 6x = 28 + 0
-8 + 6x = 28

Add '8' to each side of the equation.
-8 + 8 + 6x = 28 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 28 + 8
6x = 28 + 8

Combine like terms: 28 + 8 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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