4x-7(2x-8)=9x-4

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Solution for 4x-7(2x-8)=9x-4 equation:


Simplifying
4x + -7(2x + -8) = 9x + -4

Reorder the terms:
4x + -7(-8 + 2x) = 9x + -4
4x + (-8 * -7 + 2x * -7) = 9x + -4
4x + (56 + -14x) = 9x + -4

Reorder the terms:
56 + 4x + -14x = 9x + -4

Combine like terms: 4x + -14x = -10x
56 + -10x = 9x + -4

Reorder the terms:
56 + -10x = -4 + 9x

Solving
56 + -10x = -4 + 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.
56 + -10x + -9x = -4 + 9x + -9x

Combine like terms: -10x + -9x = -19x
56 + -19x = -4 + 9x + -9x

Combine like terms: 9x + -9x = 0
56 + -19x = -4 + 0
56 + -19x = -4

Add '-56' to each side of the equation.
56 + -56 + -19x = -4 + -56

Combine like terms: 56 + -56 = 0
0 + -19x = -4 + -56
-19x = -4 + -56

Combine like terms: -4 + -56 = -60
-19x = -60

Divide each side by '-19'.
x = 3.157894737

Simplifying
x = 3.157894737

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