3(8x-7)+5x=4(6+8x)

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Solution for 3(8x-7)+5x=4(6+8x) equation: 


Simplifying
3(8x + -7) + 5x = 4(6 + 8x)

Reorder the terms:
3(-7 + 8x) + 5x = 4(6 + 8x)
(-7 * 3 + 8x * 3) + 5x = 4(6 + 8x)
(-21 + 24x) + 5x = 4(6 + 8x)

Combine like terms: 24x + 5x = 29x
-21 + 29x = 4(6 + 8x)
-21 + 29x = (6 * 4 + 8x * 4)
-21 + 29x = (24 + 32x)

Solving
-21 + 29x = 24 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-21 + 29x + -32x = 24 + 32x + -32x

Combine like terms: 29x + -32x = -3x
-21 + -3x = 24 + 32x + -32x

Combine like terms: 32x + -32x = 0
-21 + -3x = 24 + 0
-21 + -3x = 24

Add '21' to each side of the equation.
-21 + 21 + -3x = 24 + 21

Combine like terms: -21 + 21 = 0
0 + -3x = 24 + 21
-3x = 24 + 21

Combine like terms: 24 + 21 = 45
-3x = 45

Divide each side by '-3'.
x = -15

Simplifying
x = -15

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