3(5-2x)-7=25-5(1+2x)

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Solution for 3(5-2x)-7=25-5(1+2x) equation:


Simplifying
3(5 + -2x) + -7 = 25 + -5(1 + 2x)
(5 * 3 + -2x * 3) + -7 = 25 + -5(1 + 2x)
(15 + -6x) + -7 = 25 + -5(1 + 2x)

Reorder the terms:
15 + -7 + -6x = 25 + -5(1 + 2x)

Combine like terms: 15 + -7 = 8
8 + -6x = 25 + -5(1 + 2x)
8 + -6x = 25 + (1 * -5 + 2x * -5)
8 + -6x = 25 + (-5 + -10x)

Combine like terms: 25 + -5 = 20
8 + -6x = 20 + -10x

Solving
8 + -6x = 20 + -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.
8 + -6x + 10x = 20 + -10x + 10x

Combine like terms: -6x + 10x = 4x
8 + 4x = 20 + -10x + 10x

Combine like terms: -10x + 10x = 0
8 + 4x = 20 + 0
8 + 4x = 20

Add '-8' to each side of the equation.
8 + -8 + 4x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 20 + -8
4x = 20 + -8

Combine like terms: 20 + -8 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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