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

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


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

Reorder the terms:
3(1 + 2x) + -2(x + -4) = 7
(1 * 3 + 2x * 3) + -2(x + -4) = 7
(3 + 6x) + -2(x + -4) = 7

Reorder the terms:
3 + 6x + -2(-4 + x) = 7
3 + 6x + (-4 * -2 + x * -2) = 7
3 + 6x + (8 + -2x) = 7

Reorder the terms:
3 + 8 + 6x + -2x = 7

Combine like terms: 3 + 8 = 11
11 + 6x + -2x = 7

Combine like terms: 6x + -2x = 4x
11 + 4x = 7

Solving
11 + 4x = 7

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 + 4x = 7 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 7 + -11
4x = 7 + -11

Combine like terms: 7 + -11 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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