5(3x+4)-(2x+6)=1

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Solution for 5(3x+4)-(2x+6)=1 equation:


Simplifying
5(3x + 4) + -1(2x + 6) = 1

Reorder the terms:
5(4 + 3x) + -1(2x + 6) = 1
(4 * 5 + 3x * 5) + -1(2x + 6) = 1
(20 + 15x) + -1(2x + 6) = 1

Reorder the terms:
20 + 15x + -1(6 + 2x) = 1
20 + 15x + (6 * -1 + 2x * -1) = 1
20 + 15x + (-6 + -2x) = 1

Reorder the terms:
20 + -6 + 15x + -2x = 1

Combine like terms: 20 + -6 = 14
14 + 15x + -2x = 1

Combine like terms: 15x + -2x = 13x
14 + 13x = 1

Solving
14 + 13x = 1

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 13x = 1 + -14

Combine like terms: 14 + -14 = 0
0 + 13x = 1 + -14
13x = 1 + -14

Combine like terms: 1 + -14 = -13
13x = -13

Divide each side by '13'.
x = -1

Simplifying
x = -1

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