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

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


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

Reorder the terms:
3(-4 + 5x) + -7 = 8(3x + -8)
(-4 * 3 + 5x * 3) + -7 = 8(3x + -8)
(-12 + 15x) + -7 = 8(3x + -8)

Reorder the terms:
-12 + -7 + 15x = 8(3x + -8)

Combine like terms: -12 + -7 = -19
-19 + 15x = 8(3x + -8)

Reorder the terms:
-19 + 15x = 8(-8 + 3x)
-19 + 15x = (-8 * 8 + 3x * 8)
-19 + 15x = (-64 + 24x)

Solving
-19 + 15x = -64 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-19 + 15x + -24x = -64 + 24x + -24x

Combine like terms: 15x + -24x = -9x
-19 + -9x = -64 + 24x + -24x

Combine like terms: 24x + -24x = 0
-19 + -9x = -64 + 0
-19 + -9x = -64

Add '19' to each side of the equation.
-19 + 19 + -9x = -64 + 19

Combine like terms: -19 + 19 = 0
0 + -9x = -64 + 19
-9x = -64 + 19

Combine like terms: -64 + 19 = -45
-9x = -45

Divide each side by '-9'.
x = 5

Simplifying
x = 5

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