2(x-3)=4(x-7)-(x-9)

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Solution for 2(x-3)=4(x-7)-(x-9) equation:


Simplifying
2(x + -3) = 4(x + -7) + -1(x + -9)

Reorder the terms:
2(-3 + x) = 4(x + -7) + -1(x + -9)
(-3 * 2 + x * 2) = 4(x + -7) + -1(x + -9)
(-6 + 2x) = 4(x + -7) + -1(x + -9)

Reorder the terms:
-6 + 2x = 4(-7 + x) + -1(x + -9)
-6 + 2x = (-7 * 4 + x * 4) + -1(x + -9)
-6 + 2x = (-28 + 4x) + -1(x + -9)

Reorder the terms:
-6 + 2x = -28 + 4x + -1(-9 + x)
-6 + 2x = -28 + 4x + (-9 * -1 + x * -1)
-6 + 2x = -28 + 4x + (9 + -1x)

Reorder the terms:
-6 + 2x = -28 + 9 + 4x + -1x

Combine like terms: -28 + 9 = -19
-6 + 2x = -19 + 4x + -1x

Combine like terms: 4x + -1x = 3x
-6 + 2x = -19 + 3x

Solving
-6 + 2x = -19 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 2x + -3x = -19 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-6 + -1x = -19 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -1x = -19 + 0
-6 + -1x = -19

Add '6' to each side of the equation.
-6 + 6 + -1x = -19 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -19 + 6
-1x = -19 + 6

Combine like terms: -19 + 6 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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