9-(2+4x)=6(x-3)+4(x-4)

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Solution for 9-(2+4x)=6(x-3)+4(x-4) equation:


Simplifying
9 + -1(2 + 4x) = 6(x + -3) + 4(x + -4)
9 + (2 * -1 + 4x * -1) = 6(x + -3) + 4(x + -4)
9 + (-2 + -4x) = 6(x + -3) + 4(x + -4)

Combine like terms: 9 + -2 = 7
7 + -4x = 6(x + -3) + 4(x + -4)

Reorder the terms:
7 + -4x = 6(-3 + x) + 4(x + -4)
7 + -4x = (-3 * 6 + x * 6) + 4(x + -4)
7 + -4x = (-18 + 6x) + 4(x + -4)

Reorder the terms:
7 + -4x = -18 + 6x + 4(-4 + x)
7 + -4x = -18 + 6x + (-4 * 4 + x * 4)
7 + -4x = -18 + 6x + (-16 + 4x)

Reorder the terms:
7 + -4x = -18 + -16 + 6x + 4x

Combine like terms: -18 + -16 = -34
7 + -4x = -34 + 6x + 4x

Combine like terms: 6x + 4x = 10x
7 + -4x = -34 + 10x

Solving
7 + -4x = -34 + 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.
7 + -4x + -10x = -34 + 10x + -10x

Combine like terms: -4x + -10x = -14x
7 + -14x = -34 + 10x + -10x

Combine like terms: 10x + -10x = 0
7 + -14x = -34 + 0
7 + -14x = -34

Add '-7' to each side of the equation.
7 + -7 + -14x = -34 + -7

Combine like terms: 7 + -7 = 0
0 + -14x = -34 + -7
-14x = -34 + -7

Combine like terms: -34 + -7 = -41
-14x = -41

Divide each side by '-14'.
x = 2.928571429

Simplifying
x = 2.928571429

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