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

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


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

Reorder the terms:
8(-5 + x) + 3 = 4x + -5
(-5 * 8 + x * 8) + 3 = 4x + -5
(-40 + 8x) + 3 = 4x + -5

Reorder the terms:
-40 + 3 + 8x = 4x + -5

Combine like terms: -40 + 3 = -37
-37 + 8x = 4x + -5

Reorder the terms:
-37 + 8x = -5 + 4x

Solving
-37 + 8x = -5 + 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.
-37 + 8x + -4x = -5 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-37 + 4x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-37 + 4x = -5 + 0
-37 + 4x = -5

Add '37' to each side of the equation.
-37 + 37 + 4x = -5 + 37

Combine like terms: -37 + 37 = 0
0 + 4x = -5 + 37
4x = -5 + 37

Combine like terms: -5 + 37 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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