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

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


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

Reorder the terms:
2(-3 + x) + 9 = 4(x + 3) + 10
(-3 * 2 + x * 2) + 9 = 4(x + 3) + 10
(-6 + 2x) + 9 = 4(x + 3) + 10

Reorder the terms:
-6 + 9 + 2x = 4(x + 3) + 10

Combine like terms: -6 + 9 = 3
3 + 2x = 4(x + 3) + 10

Reorder the terms:
3 + 2x = 4(3 + x) + 10
3 + 2x = (3 * 4 + x * 4) + 10
3 + 2x = (12 + 4x) + 10

Reorder the terms:
3 + 2x = 12 + 10 + 4x

Combine like terms: 12 + 10 = 22
3 + 2x = 22 + 4x

Solving
3 + 2x = 22 + 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.
3 + 2x + -4x = 22 + 4x + -4x

Combine like terms: 2x + -4x = -2x
3 + -2x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -2x = 22 + 0
3 + -2x = 22

Add '-3' to each side of the equation.
3 + -3 + -2x = 22 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 22 + -3
-2x = 22 + -3

Combine like terms: 22 + -3 = 19
-2x = 19

Divide each side by '-2'.
x = -9.5

Simplifying
x = -9.5

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