3x-7=5(2x+3)

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Solution for 3x-7=5(2x+3) equation:


Simplifying
3x + -7 = 5(2x + 3)

Reorder the terms:
-7 + 3x = 5(2x + 3)

Reorder the terms:
-7 + 3x = 5(3 + 2x)
-7 + 3x = (3 * 5 + 2x * 5)
-7 + 3x = (15 + 10x)

Solving
-7 + 3x = 15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-7 + 3x + -10x = 15 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
-7 + -7x = 15 + 0
-7 + -7x = 15

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

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

Combine like terms: 15 + 7 = 22
-7x = 22

Divide each side by '-7'.
x = -3.142857143

Simplifying
x = -3.142857143

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