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

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


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

Reorder the terms:
2(-4 + x) + 7 = 7x + -4(x + 9)
(-4 * 2 + x * 2) + 7 = 7x + -4(x + 9)
(-8 + 2x) + 7 = 7x + -4(x + 9)

Reorder the terms:
-8 + 7 + 2x = 7x + -4(x + 9)

Combine like terms: -8 + 7 = -1
-1 + 2x = 7x + -4(x + 9)

Reorder the terms:
-1 + 2x = 7x + -4(9 + x)
-1 + 2x = 7x + (9 * -4 + x * -4)
-1 + 2x = 7x + (-36 + -4x)

Reorder the terms:
-1 + 2x = -36 + 7x + -4x

Combine like terms: 7x + -4x = 3x
-1 + 2x = -36 + 3x

Solving
-1 + 2x = -36 + 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.
-1 + 2x + -3x = -36 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-1 + -1x = -36 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -1x = -36 + 0
-1 + -1x = -36

Add '1' to each side of the equation.
-1 + 1 + -1x = -36 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = -36 + 1
-1x = -36 + 1

Combine like terms: -36 + 1 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35

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