7-3(1-2x)=5(x+4)+9x

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Solution for 7-3(1-2x)=5(x+4)+9x equation:


Simplifying
7 + -3(1 + -2x) = 5(x + 4) + 9x
7 + (1 * -3 + -2x * -3) = 5(x + 4) + 9x
7 + (-3 + 6x) = 5(x + 4) + 9x

Combine like terms: 7 + -3 = 4
4 + 6x = 5(x + 4) + 9x

Reorder the terms:
4 + 6x = 5(4 + x) + 9x
4 + 6x = (4 * 5 + x * 5) + 9x
4 + 6x = (20 + 5x) + 9x

Combine like terms: 5x + 9x = 14x
4 + 6x = 20 + 14x

Solving
4 + 6x = 20 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
4 + 6x + -14x = 20 + 14x + -14x

Combine like terms: 6x + -14x = -8x
4 + -8x = 20 + 14x + -14x

Combine like terms: 14x + -14x = 0
4 + -8x = 20 + 0
4 + -8x = 20

Add '-4' to each side of the equation.
4 + -4 + -8x = 20 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = 20 + -4
-8x = 20 + -4

Combine like terms: 20 + -4 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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