4(x+2)+3+2(x-1)=51

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Solution for 4(x+2)+3+2(x-1)=51 equation: 


Simplifying
4(x + 2) + 3 + 2(x + -1) = 51

Reorder the terms:
4(2 + x) + 3 + 2(x + -1) = 51
(2 * 4 + x * 4) + 3 + 2(x + -1) = 51
(8 + 4x) + 3 + 2(x + -1) = 51

Reorder the terms:
8 + 4x + 3 + 2(-1 + x) = 51
8 + 4x + 3 + (-1 * 2 + x * 2) = 51
8 + 4x + 3 + (-2 + 2x) = 51

Reorder the terms:
8 + 3 + -2 + 4x + 2x = 51

Combine like terms: 8 + 3 = 11
11 + -2 + 4x + 2x = 51

Combine like terms: 11 + -2 = 9
9 + 4x + 2x = 51

Combine like terms: 4x + 2x = 6x
9 + 6x = 51

Solving
9 + 6x = 51

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 6x = 51 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = 51 + -9
6x = 51 + -9

Combine like terms: 51 + -9 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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