5+6(x+4)=2x+1

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Solution for 5+6(x+4)=2x+1 equation:


Simplifying
5 + 6(x + 4) = 2x + 1

Reorder the terms:
5 + 6(4 + x) = 2x + 1
5 + (4 * 6 + x * 6) = 2x + 1
5 + (24 + 6x) = 2x + 1

Combine like terms: 5 + 24 = 29
29 + 6x = 2x + 1

Reorder the terms:
29 + 6x = 1 + 2x

Solving
29 + 6x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
29 + 6x + -2x = 1 + 2x + -2x

Combine like terms: 6x + -2x = 4x
29 + 4x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
29 + 4x = 1 + 0
29 + 4x = 1

Add '-29' to each side of the equation.
29 + -29 + 4x = 1 + -29

Combine like terms: 29 + -29 = 0
0 + 4x = 1 + -29
4x = 1 + -29

Combine like terms: 1 + -29 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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