6(3x-5)=7(x-2)-10

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Solution for 6(3x-5)=7(x-2)-10 equation:


Simplifying
6(3x + -5) = 7(x + -2) + -10

Reorder the terms:
6(-5 + 3x) = 7(x + -2) + -10
(-5 * 6 + 3x * 6) = 7(x + -2) + -10
(-30 + 18x) = 7(x + -2) + -10

Reorder the terms:
-30 + 18x = 7(-2 + x) + -10
-30 + 18x = (-2 * 7 + x * 7) + -10
-30 + 18x = (-14 + 7x) + -10

Reorder the terms:
-30 + 18x = -14 + -10 + 7x

Combine like terms: -14 + -10 = -24
-30 + 18x = -24 + 7x

Solving
-30 + 18x = -24 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-30 + 18x + -7x = -24 + 7x + -7x

Combine like terms: 18x + -7x = 11x
-30 + 11x = -24 + 7x + -7x

Combine like terms: 7x + -7x = 0
-30 + 11x = -24 + 0
-30 + 11x = -24

Add '30' to each side of the equation.
-30 + 30 + 11x = -24 + 30

Combine like terms: -30 + 30 = 0
0 + 11x = -24 + 30
11x = -24 + 30

Combine like terms: -24 + 30 = 6
11x = 6

Divide each side by '11'.
x = 0.5454545455

Simplifying
x = 0.5454545455

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