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

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


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

Combine like terms: 1 + -3 = -2
5(-2) * x + -10 = -2(6x + -5) + 3

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

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

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

Reorder the terms:
-10 + -10x = 10 + 3 + -12x

Combine like terms: 10 + 3 = 13
-10 + -10x = 13 + -12x

Solving
-10 + -10x = 13 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-10 + -10x + 12x = 13 + -12x + 12x

Combine like terms: -10x + 12x = 2x
-10 + 2x = 13 + -12x + 12x

Combine like terms: -12x + 12x = 0
-10 + 2x = 13 + 0
-10 + 2x = 13

Add '10' to each side of the equation.
-10 + 10 + 2x = 13 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 13 + 10
2x = 13 + 10

Combine like terms: 13 + 10 = 23
2x = 23

Divide each side by '2'.
x = 11.5

Simplifying
x = 11.5

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