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

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


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

Reorder the terms:
5(-2 + x) + 3 = 8(x + 3) + -4
(-2 * 5 + x * 5) + 3 = 8(x + 3) + -4
(-10 + 5x) + 3 = 8(x + 3) + -4

Reorder the terms:
-10 + 3 + 5x = 8(x + 3) + -4

Combine like terms: -10 + 3 = -7
-7 + 5x = 8(x + 3) + -4

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

Reorder the terms:
-7 + 5x = 24 + -4 + 8x

Combine like terms: 24 + -4 = 20
-7 + 5x = 20 + 8x

Solving
-7 + 5x = 20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-7 + 5x + -8x = 20 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-7 + -3x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -3x = 20 + 0
-7 + -3x = 20

Add '7' to each side of the equation.
-7 + 7 + -3x = 20 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 20 + 7
-3x = 20 + 7

Combine like terms: 20 + 7 = 27
-3x = 27

Divide each side by '-3'.
x = -9

Simplifying
x = -9

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