4(x+2)=7(x+1)+6

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Solution for 4(x+2)=7(x+1)+6 equation:


Simplifying
4(x + 2) = 7(x + 1) + 6

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

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

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

Combine like terms: 7 + 6 = 13
8 + 4x = 13 + 7x

Solving
8 + 4x = 13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 4x + -7x = 13 + 7x + -7x

Combine like terms: 4x + -7x = -3x
8 + -3x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -3x = 13 + 0
8 + -3x = 13

Add '-8' to each side of the equation.
8 + -8 + -3x = 13 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 13 + -8
-3x = 13 + -8

Combine like terms: 13 + -8 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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