x-7+10(2-x)=x-7(x-1)+12(x+1)

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Solution for x-7+10(2-x)=x-7(x-1)+12(x+1) equation:


Simplifying
x + -7 + 10(2 + -1x) = x + -7(x + -1) + 12(x + 1)
x + -7 + (2 * 10 + -1x * 10) = x + -7(x + -1) + 12(x + 1)
x + -7 + (20 + -10x) = x + -7(x + -1) + 12(x + 1)

Reorder the terms:
-7 + 20 + x + -10x = x + -7(x + -1) + 12(x + 1)

Combine like terms: -7 + 20 = 13
13 + x + -10x = x + -7(x + -1) + 12(x + 1)

Combine like terms: x + -10x = -9x
13 + -9x = x + -7(x + -1) + 12(x + 1)

Reorder the terms:
13 + -9x = x + -7(-1 + x) + 12(x + 1)
13 + -9x = x + (-1 * -7 + x * -7) + 12(x + 1)
13 + -9x = x + (7 + -7x) + 12(x + 1)

Reorder the terms:
13 + -9x = x + 7 + -7x + 12(1 + x)
13 + -9x = x + 7 + -7x + (1 * 12 + x * 12)
13 + -9x = x + 7 + -7x + (12 + 12x)

Reorder the terms:
13 + -9x = 7 + 12 + x + -7x + 12x

Combine like terms: 7 + 12 = 19
13 + -9x = 19 + x + -7x + 12x

Combine like terms: x + -7x = -6x
13 + -9x = 19 + -6x + 12x

Combine like terms: -6x + 12x = 6x
13 + -9x = 19 + 6x

Solving
13 + -9x = 19 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
13 + -9x + -6x = 19 + 6x + -6x

Combine like terms: -9x + -6x = -15x
13 + -15x = 19 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + -15x = 19 + 0
13 + -15x = 19

Add '-13' to each side of the equation.
13 + -13 + -15x = 19 + -13

Combine like terms: 13 + -13 = 0
0 + -15x = 19 + -13
-15x = 19 + -13

Combine like terms: 19 + -13 = 6
-15x = 6

Divide each side by '-15'.
x = -0.4

Simplifying
x = -0.4

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