5(x-10)=8(x-7)

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Solution for 5(x-10)=8(x-7) equation:


Simplifying
5(x + -10) = 8(x + -7)

Reorder the terms:
5(-10 + x) = 8(x + -7)
(-10 * 5 + x * 5) = 8(x + -7)
(-50 + 5x) = 8(x + -7)

Reorder the terms:
-50 + 5x = 8(-7 + x)
-50 + 5x = (-7 * 8 + x * 8)
-50 + 5x = (-56 + 8x)

Solving
-50 + 5x = -56 + 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.
-50 + 5x + -8x = -56 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-50 + -3x = -56 + 8x + -8x

Combine like terms: 8x + -8x = 0
-50 + -3x = -56 + 0
-50 + -3x = -56

Add '50' to each side of the equation.
-50 + 50 + -3x = -56 + 50

Combine like terms: -50 + 50 = 0
0 + -3x = -56 + 50
-3x = -56 + 50

Combine like terms: -56 + 50 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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