7-2(2x+4)=4x+5(x-8)

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Solution for 7-2(2x+4)=4x+5(x-8) equation:


Simplifying
7 + -2(2x + 4) = 4x + 5(x + -8)

Reorder the terms:
7 + -2(4 + 2x) = 4x + 5(x + -8)
7 + (4 * -2 + 2x * -2) = 4x + 5(x + -8)
7 + (-8 + -4x) = 4x + 5(x + -8)

Combine like terms: 7 + -8 = -1
-1 + -4x = 4x + 5(x + -8)

Reorder the terms:
-1 + -4x = 4x + 5(-8 + x)
-1 + -4x = 4x + (-8 * 5 + x * 5)
-1 + -4x = 4x + (-40 + 5x)

Reorder the terms:
-1 + -4x = -40 + 4x + 5x

Combine like terms: 4x + 5x = 9x
-1 + -4x = -40 + 9x

Solving
-1 + -4x = -40 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-1 + -4x + -9x = -40 + 9x + -9x

Combine like terms: -4x + -9x = -13x
-1 + -13x = -40 + 9x + -9x

Combine like terms: 9x + -9x = 0
-1 + -13x = -40 + 0
-1 + -13x = -40

Add '1' to each side of the equation.
-1 + 1 + -13x = -40 + 1

Combine like terms: -1 + 1 = 0
0 + -13x = -40 + 1
-13x = -40 + 1

Combine like terms: -40 + 1 = -39
-13x = -39

Divide each side by '-13'.
x = 3

Simplifying
x = 3

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