6(2x-5)=10-4(x-10)

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Solution for 6(2x-5)=10-4(x-10) equation:


Simplifying
6(2x + -5) = 10 + -4(x + -10)

Reorder the terms:
6(-5 + 2x) = 10 + -4(x + -10)
(-5 * 6 + 2x * 6) = 10 + -4(x + -10)
(-30 + 12x) = 10 + -4(x + -10)

Reorder the terms:
-30 + 12x = 10 + -4(-10 + x)
-30 + 12x = 10 + (-10 * -4 + x * -4)
-30 + 12x = 10 + (40 + -4x)

Combine like terms: 10 + 40 = 50
-30 + 12x = 50 + -4x

Solving
-30 + 12x = 50 + -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.
-30 + 12x + 4x = 50 + -4x + 4x

Combine like terms: 12x + 4x = 16x
-30 + 16x = 50 + -4x + 4x

Combine like terms: -4x + 4x = 0
-30 + 16x = 50 + 0
-30 + 16x = 50

Add '30' to each side of the equation.
-30 + 30 + 16x = 50 + 30

Combine like terms: -30 + 30 = 0
0 + 16x = 50 + 30
16x = 50 + 30

Combine like terms: 50 + 30 = 80
16x = 80

Divide each side by '16'.
x = 5

Simplifying
x = 5

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