3x+10=7-5(2x+15)

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Solution for 3x+10=7-5(2x+15) equation:


Simplifying
3x + 10 = 7 + -5(2x + 15)

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

Reorder the terms:
10 + 3x = 7 + -5(15 + 2x)
10 + 3x = 7 + (15 * -5 + 2x * -5)
10 + 3x = 7 + (-75 + -10x)

Combine like terms: 7 + -75 = -68
10 + 3x = -68 + -10x

Solving
10 + 3x = -68 + -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.
10 + 3x + 10x = -68 + -10x + 10x

Combine like terms: 3x + 10x = 13x
10 + 13x = -68 + -10x + 10x

Combine like terms: -10x + 10x = 0
10 + 13x = -68 + 0
10 + 13x = -68

Add '-10' to each side of the equation.
10 + -10 + 13x = -68 + -10

Combine like terms: 10 + -10 = 0
0 + 13x = -68 + -10
13x = -68 + -10

Combine like terms: -68 + -10 = -78
13x = -78

Divide each side by '13'.
x = -6

Simplifying
x = -6

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