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

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


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

Reorder the terms:
8(-10 + x) = 4(x + -3)
(-10 * 8 + x * 8) = 4(x + -3)
(-80 + 8x) = 4(x + -3)

Reorder the terms:
-80 + 8x = 4(-3 + x)
-80 + 8x = (-3 * 4 + x * 4)
-80 + 8x = (-12 + 4x)

Solving
-80 + 8x = -12 + 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.
-80 + 8x + -4x = -12 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-80 + 4x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-80 + 4x = -12 + 0
-80 + 4x = -12

Add '80' to each side of the equation.
-80 + 80 + 4x = -12 + 80

Combine like terms: -80 + 80 = 0
0 + 4x = -12 + 80
4x = -12 + 80

Combine like terms: -12 + 80 = 68
4x = 68

Divide each side by '4'.
x = 17

Simplifying
x = 17

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