2(x-1)+3(2x-2)=4(x+3)+9

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Solution for 2(x-1)+3(2x-2)=4(x+3)+9 equation:


Simplifying
2(x + -1) + 3(2x + -2) = 4(x + 3) + 9

Reorder the terms:
2(-1 + x) + 3(2x + -2) = 4(x + 3) + 9
(-1 * 2 + x * 2) + 3(2x + -2) = 4(x + 3) + 9
(-2 + 2x) + 3(2x + -2) = 4(x + 3) + 9

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

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

Combine like terms: -2 + -6 = -8
-8 + 2x + 6x = 4(x + 3) + 9

Combine like terms: 2x + 6x = 8x
-8 + 8x = 4(x + 3) + 9

Reorder the terms:
-8 + 8x = 4(3 + x) + 9
-8 + 8x = (3 * 4 + x * 4) + 9
-8 + 8x = (12 + 4x) + 9

Reorder the terms:
-8 + 8x = 12 + 9 + 4x

Combine like terms: 12 + 9 = 21
-8 + 8x = 21 + 4x

Solving
-8 + 8x = 21 + 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.
-8 + 8x + -4x = 21 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-8 + 4x = 21 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + 4x = 21 + 0
-8 + 4x = 21

Add '8' to each side of the equation.
-8 + 8 + 4x = 21 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 21 + 8
4x = 21 + 8

Combine like terms: 21 + 8 = 29
4x = 29

Divide each side by '4'.
x = 7.25

Simplifying
x = 7.25

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