5(x-4)=3(4x-7)-2(3x+4)

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Solution for 5(x-4)=3(4x-7)-2(3x+4) equation:


Simplifying
5(x + -4) = 3(4x + -7) + -2(3x + 4)

Reorder the terms:
5(-4 + x) = 3(4x + -7) + -2(3x + 4)
(-4 * 5 + x * 5) = 3(4x + -7) + -2(3x + 4)
(-20 + 5x) = 3(4x + -7) + -2(3x + 4)

Reorder the terms:
-20 + 5x = 3(-7 + 4x) + -2(3x + 4)
-20 + 5x = (-7 * 3 + 4x * 3) + -2(3x + 4)
-20 + 5x = (-21 + 12x) + -2(3x + 4)

Reorder the terms:
-20 + 5x = -21 + 12x + -2(4 + 3x)
-20 + 5x = -21 + 12x + (4 * -2 + 3x * -2)
-20 + 5x = -21 + 12x + (-8 + -6x)

Reorder the terms:
-20 + 5x = -21 + -8 + 12x + -6x

Combine like terms: -21 + -8 = -29
-20 + 5x = -29 + 12x + -6x

Combine like terms: 12x + -6x = 6x
-20 + 5x = -29 + 6x

Solving
-20 + 5x = -29 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-20 + 5x + -6x = -29 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-20 + -1x = -29 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + -1x = -29 + 0
-20 + -1x = -29

Add '20' to each side of the equation.
-20 + 20 + -1x = -29 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = -29 + 20
-1x = -29 + 20

Combine like terms: -29 + 20 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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