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

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


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

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

Reorder the terms:
20 + 15x = 5 + 2x

Solving
20 + 15x = 5 + 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.
20 + 15x + -2x = 5 + 2x + -2x

Combine like terms: 15x + -2x = 13x
20 + 13x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 13x = 5 + 0
20 + 13x = 5

Add '-20' to each side of the equation.
20 + -20 + 13x = 5 + -20

Combine like terms: 20 + -20 = 0
0 + 13x = 5 + -20
13x = 5 + -20

Combine like terms: 5 + -20 = -15
13x = -15

Divide each side by '13'.
x = -1.153846154

Simplifying
x = -1.153846154

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