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

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


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

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

Reorder the terms:
6 + 3x = 4(1 + 2x) + 7
6 + 3x = (1 * 4 + 2x * 4) + 7
6 + 3x = (4 + 8x) + 7

Reorder the terms:
6 + 3x = 4 + 7 + 8x

Combine like terms: 4 + 7 = 11
6 + 3x = 11 + 8x

Solving
6 + 3x = 11 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 3x + -8x = 11 + 8x + -8x

Combine like terms: 3x + -8x = -5x
6 + -5x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -5x = 11 + 0
6 + -5x = 11

Add '-6' to each side of the equation.
6 + -6 + -5x = 11 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 11 + -6
-5x = 11 + -6

Combine like terms: 11 + -6 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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