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

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


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

Reorder the terms:
4x + 3(5 + 4x) = 2x + 1
4x + (5 * 3 + 4x * 3) = 2x + 1
4x + (15 + 12x) = 2x + 1

Reorder the terms:
15 + 4x + 12x = 2x + 1

Combine like terms: 4x + 12x = 16x
15 + 16x = 2x + 1

Reorder the terms:
15 + 16x = 1 + 2x

Solving
15 + 16x = 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.
15 + 16x + -2x = 1 + 2x + -2x

Combine like terms: 16x + -2x = 14x
15 + 14x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 14x = 1 + 0
15 + 14x = 1

Add '-15' to each side of the equation.
15 + -15 + 14x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + 14x = 1 + -15
14x = 1 + -15

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

Divide each side by '14'.
x = -1

Simplifying
x = -1

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