7x-2=4(x-10)

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


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

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

Reorder the terms:
-2 + 7x = 4(-10 + x)
-2 + 7x = (-10 * 4 + x * 4)
-2 + 7x = (-40 + 4x)

Solving
-2 + 7x = -40 + 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.
-2 + 7x + -4x = -40 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-2 + 3x = -40 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 3x = -40 + 0
-2 + 3x = -40

Add '2' to each side of the equation.
-2 + 2 + 3x = -40 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = -40 + 2
3x = -40 + 2

Combine like terms: -40 + 2 = -38
3x = -38

Divide each side by '3'.
x = -12.66666667

Simplifying
x = -12.66666667

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