2x-5(x-3)=9+4x+10

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Solution for 2x-5(x-3)=9+4x+10 equation:


Simplifying
2x + -5(x + -3) = 9 + 4x + 10

Reorder the terms:
2x + -5(-3 + x) = 9 + 4x + 10
2x + (-3 * -5 + x * -5) = 9 + 4x + 10
2x + (15 + -5x) = 9 + 4x + 10

Reorder the terms:
15 + 2x + -5x = 9 + 4x + 10

Combine like terms: 2x + -5x = -3x
15 + -3x = 9 + 4x + 10

Reorder the terms:
15 + -3x = 9 + 10 + 4x

Combine like terms: 9 + 10 = 19
15 + -3x = 19 + 4x

Solving
15 + -3x = 19 + 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.
15 + -3x + -4x = 19 + 4x + -4x

Combine like terms: -3x + -4x = -7x
15 + -7x = 19 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -7x = 19 + 0
15 + -7x = 19

Add '-15' to each side of the equation.
15 + -15 + -7x = 19 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = 19 + -15
-7x = 19 + -15

Combine like terms: 19 + -15 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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