4(3x-8)-(2x-7)+5x=

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Solution for 4(3x-8)-(2x-7)+5x= equation:


Simplifying
4(3x + -8) + -1(2x + -7) + 5x = 0

Reorder the terms:
4(-8 + 3x) + -1(2x + -7) + 5x = 0
(-8 * 4 + 3x * 4) + -1(2x + -7) + 5x = 0
(-32 + 12x) + -1(2x + -7) + 5x = 0

Reorder the terms:
-32 + 12x + -1(-7 + 2x) + 5x = 0
-32 + 12x + (-7 * -1 + 2x * -1) + 5x = 0
-32 + 12x + (7 + -2x) + 5x = 0

Reorder the terms:
-32 + 7 + 12x + -2x + 5x = 0

Combine like terms: -32 + 7 = -25
-25 + 12x + -2x + 5x = 0

Combine like terms: 12x + -2x = 10x
-25 + 10x + 5x = 0

Combine like terms: 10x + 5x = 15x
-25 + 15x = 0

Solving
-25 + 15x = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 15x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 15x = 0 + 25
15x = 0 + 25

Combine like terms: 0 + 25 = 25
15x = 25

Divide each side by '15'.
x = 1.666666667

Simplifying
x = 1.666666667

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