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

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


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

Reorder the terms:
-10 + 6x = -3 + 2x + 3(5 + -2x)
-10 + 6x = -3 + 2x + (5 * 3 + -2x * 3)
-10 + 6x = -3 + 2x + (15 + -6x)

Reorder the terms:
-10 + 6x = -3 + 15 + 2x + -6x

Combine like terms: -3 + 15 = 12
-10 + 6x = 12 + 2x + -6x

Combine like terms: 2x + -6x = -4x
-10 + 6x = 12 + -4x

Solving
-10 + 6x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-10 + 6x + 4x = 12 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-10 + 10x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 10x = 12 + 0
-10 + 10x = 12

Add '10' to each side of the equation.
-10 + 10 + 10x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = 12 + 10
10x = 12 + 10

Combine like terms: 12 + 10 = 22
10x = 22

Divide each side by '10'.
x = 2.2

Simplifying
x = 2.2

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