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

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


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

Reorder the terms:
8(-3 + 2x) = 7(x + 3) + -4
(-3 * 8 + 2x * 8) = 7(x + 3) + -4
(-24 + 16x) = 7(x + 3) + -4

Reorder the terms:
-24 + 16x = 7(3 + x) + -4
-24 + 16x = (3 * 7 + x * 7) + -4
-24 + 16x = (21 + 7x) + -4

Reorder the terms:
-24 + 16x = 21 + -4 + 7x

Combine like terms: 21 + -4 = 17
-24 + 16x = 17 + 7x

Solving
-24 + 16x = 17 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-24 + 16x + -7x = 17 + 7x + -7x

Combine like terms: 16x + -7x = 9x
-24 + 9x = 17 + 7x + -7x

Combine like terms: 7x + -7x = 0
-24 + 9x = 17 + 0
-24 + 9x = 17

Add '24' to each side of the equation.
-24 + 24 + 9x = 17 + 24

Combine like terms: -24 + 24 = 0
0 + 9x = 17 + 24
9x = 17 + 24

Combine like terms: 17 + 24 = 41
9x = 41

Divide each side by '9'.
x = 4.555555556

Simplifying
x = 4.555555556

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