10x+5=3(5x+7)

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Solution for 10x+5=3(5x+7) equation:


Simplifying
10x + 5 = 3(5x + 7)

Reorder the terms:
5 + 10x = 3(5x + 7)

Reorder the terms:
5 + 10x = 3(7 + 5x)
5 + 10x = (7 * 3 + 5x * 3)
5 + 10x = (21 + 15x)

Solving
5 + 10x = 21 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
5 + 10x + -15x = 21 + 15x + -15x

Combine like terms: 10x + -15x = -5x
5 + -5x = 21 + 15x + -15x

Combine like terms: 15x + -15x = 0
5 + -5x = 21 + 0
5 + -5x = 21

Add '-5' to each side of the equation.
5 + -5 + -5x = 21 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = 21 + -5
-5x = 21 + -5

Combine like terms: 21 + -5 = 16
-5x = 16

Divide each side by '-5'.
x = -3.2

Simplifying
x = -3.2

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