10-(x-3)=4-2(5x-1)

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Solution for 10-(x-3)=4-2(5x-1) equation:


Simplifying
10 + -1(x + -3) = 4 + -2(5x + -1)

Reorder the terms:
10 + -1(-3 + x) = 4 + -2(5x + -1)
10 + (-3 * -1 + x * -1) = 4 + -2(5x + -1)
10 + (3 + -1x) = 4 + -2(5x + -1)

Combine like terms: 10 + 3 = 13
13 + -1x = 4 + -2(5x + -1)

Reorder the terms:
13 + -1x = 4 + -2(-1 + 5x)
13 + -1x = 4 + (-1 * -2 + 5x * -2)
13 + -1x = 4 + (2 + -10x)

Combine like terms: 4 + 2 = 6
13 + -1x = 6 + -10x

Solving
13 + -1x = 6 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
13 + -1x + 10x = 6 + -10x + 10x

Combine like terms: -1x + 10x = 9x
13 + 9x = 6 + -10x + 10x

Combine like terms: -10x + 10x = 0
13 + 9x = 6 + 0
13 + 9x = 6

Add '-13' to each side of the equation.
13 + -13 + 9x = 6 + -13

Combine like terms: 13 + -13 = 0
0 + 9x = 6 + -13
9x = 6 + -13

Combine like terms: 6 + -13 = -7
9x = -7

Divide each side by '9'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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