7x-3=2(x-4)

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Solution for 7x-3=2(x-4) equation:


Simplifying
7x + -3 = 2(x + -4)

Reorder the terms:
-3 + 7x = 2(x + -4)

Reorder the terms:
-3 + 7x = 2(-4 + x)
-3 + 7x = (-4 * 2 + x * 2)
-3 + 7x = (-8 + 2x)

Solving
-3 + 7x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 7x + -2x = -8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-3 + 5x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 5x = -8 + 0
-3 + 5x = -8

Add '3' to each side of the equation.
-3 + 3 + 5x = -8 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = -8 + 3
5x = -8 + 3

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

Divide each side by '5'.
x = -1

Simplifying
x = -1

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