2x-3=7(x-4)

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


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

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

Reorder the terms:
-3 + 2x = 7(-4 + x)
-3 + 2x = (-4 * 7 + x * 7)
-3 + 2x = (-28 + 7x)

Solving
-3 + 2x = -28 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-3 + 2x + -7x = -28 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-3 + -5x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + -5x = -28 + 0
-3 + -5x = -28

Add '3' to each side of the equation.
-3 + 3 + -5x = -28 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = -28 + 3
-5x = -28 + 3

Combine like terms: -28 + 3 = -25
-5x = -25

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

Simplifying
x = 5

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