5x-3=4(x+8)-10

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Solution for 5x-3=4(x+8)-10 equation:


Simplifying
5x + -3 = 4(x + 8) + -10

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

Reorder the terms:
-3 + 5x = 4(8 + x) + -10
-3 + 5x = (8 * 4 + x * 4) + -10
-3 + 5x = (32 + 4x) + -10

Reorder the terms:
-3 + 5x = 32 + -10 + 4x

Combine like terms: 32 + -10 = 22
-3 + 5x = 22 + 4x

Solving
-3 + 5x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + 5x + -4x = 22 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-3 + 1x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 1x = 22 + 0
-3 + 1x = 22

Add '3' to each side of the equation.
-3 + 3 + 1x = 22 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 22 + 3
1x = 22 + 3

Combine like terms: 22 + 3 = 25
1x = 25

Divide each side by '1'.
x = 25

Simplifying
x = 25

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