3(5x+10)+10=6x-(x+10)

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Solution for 3(5x+10)+10=6x-(x+10) equation:


Simplifying
3(5x + 10) + 10 = 6x + -1(x + 10)

Reorder the terms:
3(10 + 5x) + 10 = 6x + -1(x + 10)
(10 * 3 + 5x * 3) + 10 = 6x + -1(x + 10)
(30 + 15x) + 10 = 6x + -1(x + 10)

Reorder the terms:
30 + 10 + 15x = 6x + -1(x + 10)

Combine like terms: 30 + 10 = 40
40 + 15x = 6x + -1(x + 10)

Reorder the terms:
40 + 15x = 6x + -1(10 + x)
40 + 15x = 6x + (10 * -1 + x * -1)
40 + 15x = 6x + (-10 + -1x)

Reorder the terms:
40 + 15x = -10 + 6x + -1x

Combine like terms: 6x + -1x = 5x
40 + 15x = -10 + 5x

Solving
40 + 15x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
40 + 15x + -5x = -10 + 5x + -5x

Combine like terms: 15x + -5x = 10x
40 + 10x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
40 + 10x = -10 + 0
40 + 10x = -10

Add '-40' to each side of the equation.
40 + -40 + 10x = -10 + -40

Combine like terms: 40 + -40 = 0
0 + 10x = -10 + -40
10x = -10 + -40

Combine like terms: -10 + -40 = -50
10x = -50

Divide each side by '10'.
x = -5

Simplifying
x = -5

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