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

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


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

Reorder the terms:
5(-3 + 2x) = 3(x + 4) + 1
(-3 * 5 + 2x * 5) = 3(x + 4) + 1
(-15 + 10x) = 3(x + 4) + 1

Reorder the terms:
-15 + 10x = 3(4 + x) + 1
-15 + 10x = (4 * 3 + x * 3) + 1
-15 + 10x = (12 + 3x) + 1

Reorder the terms:
-15 + 10x = 12 + 1 + 3x

Combine like terms: 12 + 1 = 13
-15 + 10x = 13 + 3x

Solving
-15 + 10x = 13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-15 + 10x + -3x = 13 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-15 + 7x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + 7x = 13 + 0
-15 + 7x = 13

Add '15' to each side of the equation.
-15 + 15 + 7x = 13 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 13 + 15
7x = 13 + 15

Combine like terms: 13 + 15 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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