6(2x+5)-3=10(x-1)

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Solution for 6(2x+5)-3=10(x-1) equation:


Simplifying
6(2x + 5) + -3 = 10(x + -1)

Reorder the terms:
6(5 + 2x) + -3 = 10(x + -1)
(5 * 6 + 2x * 6) + -3 = 10(x + -1)
(30 + 12x) + -3 = 10(x + -1)

Reorder the terms:
30 + -3 + 12x = 10(x + -1)

Combine like terms: 30 + -3 = 27
27 + 12x = 10(x + -1)

Reorder the terms:
27 + 12x = 10(-1 + x)
27 + 12x = (-1 * 10 + x * 10)
27 + 12x = (-10 + 10x)

Solving
27 + 12x = -10 + 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.
27 + 12x + -10x = -10 + 10x + -10x

Combine like terms: 12x + -10x = 2x
27 + 2x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
27 + 2x = -10 + 0
27 + 2x = -10

Add '-27' to each side of the equation.
27 + -27 + 2x = -10 + -27

Combine like terms: 27 + -27 = 0
0 + 2x = -10 + -27
2x = -10 + -27

Combine like terms: -10 + -27 = -37
2x = -37

Divide each side by '2'.
x = -18.5

Simplifying
x = -18.5

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