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

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


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

Reorder the terms:
1 + 3(-9 + x) = 1 + -2(x + -4)
1 + (-9 * 3 + x * 3) = 1 + -2(x + -4)
1 + (-27 + 3x) = 1 + -2(x + -4)

Combine like terms: 1 + -27 = -26
-26 + 3x = 1 + -2(x + -4)

Reorder the terms:
-26 + 3x = 1 + -2(-4 + x)
-26 + 3x = 1 + (-4 * -2 + x * -2)
-26 + 3x = 1 + (8 + -2x)

Combine like terms: 1 + 8 = 9
-26 + 3x = 9 + -2x

Solving
-26 + 3x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-26 + 3x + 2x = 9 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-26 + 5x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-26 + 5x = 9 + 0
-26 + 5x = 9

Add '26' to each side of the equation.
-26 + 26 + 5x = 9 + 26

Combine like terms: -26 + 26 = 0
0 + 5x = 9 + 26
5x = 9 + 26

Combine like terms: 9 + 26 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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