8(x-5)=7(x-3)

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Solution for 8(x-5)=7(x-3) equation:


Simplifying
8(x + -5) = 7(x + -3)

Reorder the terms:
8(-5 + x) = 7(x + -3)
(-5 * 8 + x * 8) = 7(x + -3)
(-40 + 8x) = 7(x + -3)

Reorder the terms:
-40 + 8x = 7(-3 + x)
-40 + 8x = (-3 * 7 + x * 7)
-40 + 8x = (-21 + 7x)

Solving
-40 + 8x = -21 + 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.
-40 + 8x + -7x = -21 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-40 + 1x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-40 + 1x = -21 + 0
-40 + 1x = -21

Add '40' to each side of the equation.
-40 + 40 + 1x = -21 + 40

Combine like terms: -40 + 40 = 0
0 + 1x = -21 + 40
1x = -21 + 40

Combine like terms: -21 + 40 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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