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

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


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

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

Combine like terms: 2 + 10 = 12
12 + -1x = -4 + 3(x + 5)

Reorder the terms:
12 + -1x = -4 + 3(5 + x)
12 + -1x = -4 + (5 * 3 + x * 3)
12 + -1x = -4 + (15 + 3x)

Combine like terms: -4 + 15 = 11
12 + -1x = 11 + 3x

Solving
12 + -1x = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + -1x + -3x = 11 + 3x + -3x

Combine like terms: -1x + -3x = -4x
12 + -4x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -4x = 11 + 0
12 + -4x = 11

Add '-12' to each side of the equation.
12 + -12 + -4x = 11 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 11 + -12
-4x = 11 + -12

Combine like terms: 11 + -12 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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