2-4(x-3)=-9(10-x)

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Solution for 2-4(x-3)=-9(10-x) equation:


Simplifying
2 + -4(x + -3) = -9(10 + -1x)

Reorder the terms:
2 + -4(-3 + x) = -9(10 + -1x)
2 + (-3 * -4 + x * -4) = -9(10 + -1x)
2 + (12 + -4x) = -9(10 + -1x)

Combine like terms: 2 + 12 = 14
14 + -4x = -9(10 + -1x)
14 + -4x = (10 * -9 + -1x * -9)
14 + -4x = (-90 + 9x)

Solving
14 + -4x = -90 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
14 + -4x + -9x = -90 + 9x + -9x

Combine like terms: -4x + -9x = -13x
14 + -13x = -90 + 9x + -9x

Combine like terms: 9x + -9x = 0
14 + -13x = -90 + 0
14 + -13x = -90

Add '-14' to each side of the equation.
14 + -14 + -13x = -90 + -14

Combine like terms: 14 + -14 = 0
0 + -13x = -90 + -14
-13x = -90 + -14

Combine like terms: -90 + -14 = -104
-13x = -104

Divide each side by '-13'.
x = 8

Simplifying
x = 8

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