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

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


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

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

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

Combine like terms: -2 + 3 = 1
1 + 2x = 4 + -1(x + -9)

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

Combine like terms: 4 + 9 = 13
1 + 2x = 13 + -1x

Solving
1 + 2x = 13 + -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.
1 + 2x + x = 13 + -1x + x

Combine like terms: 2x + x = 3x
1 + 3x = 13 + -1x + x

Combine like terms: -1x + x = 0
1 + 3x = 13 + 0
1 + 3x = 13

Add '-1' to each side of the equation.
1 + -1 + 3x = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 13 + -1
3x = 13 + -1

Combine like terms: 13 + -1 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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