10x+9=3+2(2x-5)

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Solution for 10x+9=3+2(2x-5) equation:


Simplifying
10x + 9 = 3 + 2(2x + -5)

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

Reorder the terms:
9 + 10x = 3 + 2(-5 + 2x)
9 + 10x = 3 + (-5 * 2 + 2x * 2)
9 + 10x = 3 + (-10 + 4x)

Combine like terms: 3 + -10 = -7
9 + 10x = -7 + 4x

Solving
9 + 10x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 10x + -4x = -7 + 4x + -4x

Combine like terms: 10x + -4x = 6x
9 + 6x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 6x = -7 + 0
9 + 6x = -7

Add '-9' to each side of the equation.
9 + -9 + 6x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = -7 + -9
6x = -7 + -9

Combine like terms: -7 + -9 = -16
6x = -16

Divide each side by '6'.
x = -2.666666667

Simplifying
x = -2.666666667

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