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

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


Simplifying
4 + 2(4x + -2) = -5(2x + -3) + 9x

Reorder the terms:
4 + 2(-2 + 4x) = -5(2x + -3) + 9x
4 + (-2 * 2 + 4x * 2) = -5(2x + -3) + 9x
4 + (-4 + 8x) = -5(2x + -3) + 9x

Combine like terms: 4 + -4 = 0
0 + 8x = -5(2x + -3) + 9x
8x = -5(2x + -3) + 9x

Reorder the terms:
8x = -5(-3 + 2x) + 9x
8x = (-3 * -5 + 2x * -5) + 9x
8x = (15 + -10x) + 9x

Combine like terms: -10x + 9x = -1x
8x = 15 + -1x

Solving
8x = 15 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8x + x = 15 + -1x + x

Combine like terms: 8x + x = 9x
9x = 15 + -1x + x

Combine like terms: -1x + x = 0
9x = 15 + 0
9x = 15

Divide each side by '9'.
x = 1.666666667

Simplifying
x = 1.666666667

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