7x-4=3(x-10)

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Solution for 7x-4=3(x-10) equation:


Simplifying
7x + -4 = 3(x + -10)

Reorder the terms:
-4 + 7x = 3(x + -10)

Reorder the terms:
-4 + 7x = 3(-10 + x)
-4 + 7x = (-10 * 3 + x * 3)
-4 + 7x = (-30 + 3x)

Solving
-4 + 7x = -30 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-4 + 7x + -3x = -30 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-4 + 4x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 4x = -30 + 0
-4 + 4x = -30

Add '4' to each side of the equation.
-4 + 4 + 4x = -30 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = -30 + 4
4x = -30 + 4

Combine like terms: -30 + 4 = -26
4x = -26

Divide each side by '4'.
x = -6.5

Simplifying
x = -6.5

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