3(5x+3)=4x+16-2x

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Solution for 3(5x+3)=4x+16-2x equation:


Simplifying
3(5x + 3) = 4x + 16 + -2x

Reorder the terms:
3(3 + 5x) = 4x + 16 + -2x
(3 * 3 + 5x * 3) = 4x + 16 + -2x
(9 + 15x) = 4x + 16 + -2x

Reorder the terms:
9 + 15x = 16 + 4x + -2x

Combine like terms: 4x + -2x = 2x
9 + 15x = 16 + 2x

Solving
9 + 15x = 16 + 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.
9 + 15x + -2x = 16 + 2x + -2x

Combine like terms: 15x + -2x = 13x
9 + 13x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 13x = 16 + 0
9 + 13x = 16

Add '-9' to each side of the equation.
9 + -9 + 13x = 16 + -9

Combine like terms: 9 + -9 = 0
0 + 13x = 16 + -9
13x = 16 + -9

Combine like terms: 16 + -9 = 7
13x = 7

Divide each side by '13'.
x = 0.5384615385

Simplifying
x = 0.5384615385

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