7(x-10)=4(x-2)

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Solution for 7(x-10)=4(x-2) equation:


Simplifying
7(x + -10) = 4(x + -2)

Reorder the terms:
7(-10 + x) = 4(x + -2)
(-10 * 7 + x * 7) = 4(x + -2)
(-70 + 7x) = 4(x + -2)

Reorder the terms:
-70 + 7x = 4(-2 + x)
-70 + 7x = (-2 * 4 + x * 4)
-70 + 7x = (-8 + 4x)

Solving
-70 + 7x = -8 + 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.
-70 + 7x + -4x = -8 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-70 + 3x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-70 + 3x = -8 + 0
-70 + 3x = -8

Add '70' to each side of the equation.
-70 + 70 + 3x = -8 + 70

Combine like terms: -70 + 70 = 0
0 + 3x = -8 + 70
3x = -8 + 70

Combine like terms: -8 + 70 = 62
3x = 62

Divide each side by '3'.
x = 20.66666667

Simplifying
x = 20.66666667

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