7(x+6)=15x-10

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Solution for 7(x+6)=15x-10 equation:


Simplifying
7(x + 6) = 15x + -10

Reorder the terms:
7(6 + x) = 15x + -10
(6 * 7 + x * 7) = 15x + -10
(42 + 7x) = 15x + -10

Reorder the terms:
42 + 7x = -10 + 15x

Solving
42 + 7x = -10 + 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.
42 + 7x + -15x = -10 + 15x + -15x

Combine like terms: 7x + -15x = -8x
42 + -8x = -10 + 15x + -15x

Combine like terms: 15x + -15x = 0
42 + -8x = -10 + 0
42 + -8x = -10

Add '-42' to each side of the equation.
42 + -42 + -8x = -10 + -42

Combine like terms: 42 + -42 = 0
0 + -8x = -10 + -42
-8x = -10 + -42

Combine like terms: -10 + -42 = -52
-8x = -52

Divide each side by '-8'.
x = 6.5

Simplifying
x = 6.5

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