7x+5(x-8)=-4(3x-5)+12

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Solution for 7x+5(x-8)=-4(3x-5)+12 equation:


Simplifying
7x + 5(x + -8) = -4(3x + -5) + 12

Reorder the terms:
7x + 5(-8 + x) = -4(3x + -5) + 12
7x + (-8 * 5 + x * 5) = -4(3x + -5) + 12
7x + (-40 + 5x) = -4(3x + -5) + 12

Reorder the terms:
-40 + 7x + 5x = -4(3x + -5) + 12

Combine like terms: 7x + 5x = 12x
-40 + 12x = -4(3x + -5) + 12

Reorder the terms:
-40 + 12x = -4(-5 + 3x) + 12
-40 + 12x = (-5 * -4 + 3x * -4) + 12
-40 + 12x = (20 + -12x) + 12

Reorder the terms:
-40 + 12x = 20 + 12 + -12x

Combine like terms: 20 + 12 = 32
-40 + 12x = 32 + -12x

Solving
-40 + 12x = 32 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-40 + 12x + 12x = 32 + -12x + 12x

Combine like terms: 12x + 12x = 24x
-40 + 24x = 32 + -12x + 12x

Combine like terms: -12x + 12x = 0
-40 + 24x = 32 + 0
-40 + 24x = 32

Add '40' to each side of the equation.
-40 + 40 + 24x = 32 + 40

Combine like terms: -40 + 40 = 0
0 + 24x = 32 + 40
24x = 32 + 40

Combine like terms: 32 + 40 = 72
24x = 72

Divide each side by '24'.
x = 3

Simplifying
x = 3

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