-2(x-3)+10=4(5-4x)

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Solution for -2(x-3)+10=4(5-4x) equation:


Simplifying
-2(x + -3) + 10 = 4(5 + -4x)

Reorder the terms:
-2(-3 + x) + 10 = 4(5 + -4x)
(-3 * -2 + x * -2) + 10 = 4(5 + -4x)
(6 + -2x) + 10 = 4(5 + -4x)

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

Combine like terms: 6 + 10 = 16
16 + -2x = 4(5 + -4x)
16 + -2x = (5 * 4 + -4x * 4)
16 + -2x = (20 + -16x)

Solving
16 + -2x = 20 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
16 + -2x + 16x = 20 + -16x + 16x

Combine like terms: -2x + 16x = 14x
16 + 14x = 20 + -16x + 16x

Combine like terms: -16x + 16x = 0
16 + 14x = 20 + 0
16 + 14x = 20

Add '-16' to each side of the equation.
16 + -16 + 14x = 20 + -16

Combine like terms: 16 + -16 = 0
0 + 14x = 20 + -16
14x = 20 + -16

Combine like terms: 20 + -16 = 4
14x = 4

Divide each side by '14'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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