8(2x+4)-7(2x+3)=51

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Solution for 8(2x+4)-7(2x+3)=51 equation:


Simplifying
8(2x + 4) + -7(2x + 3) = 51

Reorder the terms:
8(4 + 2x) + -7(2x + 3) = 51
(4 * 8 + 2x * 8) + -7(2x + 3) = 51
(32 + 16x) + -7(2x + 3) = 51

Reorder the terms:
32 + 16x + -7(3 + 2x) = 51
32 + 16x + (3 * -7 + 2x * -7) = 51
32 + 16x + (-21 + -14x) = 51

Reorder the terms:
32 + -21 + 16x + -14x = 51

Combine like terms: 32 + -21 = 11
11 + 16x + -14x = 51

Combine like terms: 16x + -14x = 2x
11 + 2x = 51

Solving
11 + 2x = 51

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 2x = 51 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 51 + -11
2x = 51 + -11

Combine like terms: 51 + -11 = 40
2x = 40

Divide each side by '2'.
x = 20

Simplifying
x = 20

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