5x-48=7(x-4)

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Solution for 5x-48=7(x-4) equation:


Simplifying
5x + -48 = 7(x + -4)

Reorder the terms:
-48 + 5x = 7(x + -4)

Reorder the terms:
-48 + 5x = 7(-4 + x)
-48 + 5x = (-4 * 7 + x * 7)
-48 + 5x = (-28 + 7x)

Solving
-48 + 5x = -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.
-48 + 5x + -7x = -28 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-48 + -2x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-48 + -2x = -28 + 0
-48 + -2x = -28

Add '48' to each side of the equation.
-48 + 48 + -2x = -28 + 48

Combine like terms: -48 + 48 = 0
0 + -2x = -28 + 48
-2x = -28 + 48

Combine like terms: -28 + 48 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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