5(4x-7)-7=5(x-3)+48

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Solution for 5(4x-7)-7=5(x-3)+48 equation:


Simplifying
5(4x + -7) + -7 = 5(x + -3) + 48

Reorder the terms:
5(-7 + 4x) + -7 = 5(x + -3) + 48
(-7 * 5 + 4x * 5) + -7 = 5(x + -3) + 48
(-35 + 20x) + -7 = 5(x + -3) + 48

Reorder the terms:
-35 + -7 + 20x = 5(x + -3) + 48

Combine like terms: -35 + -7 = -42
-42 + 20x = 5(x + -3) + 48

Reorder the terms:
-42 + 20x = 5(-3 + x) + 48
-42 + 20x = (-3 * 5 + x * 5) + 48
-42 + 20x = (-15 + 5x) + 48

Reorder the terms:
-42 + 20x = -15 + 48 + 5x

Combine like terms: -15 + 48 = 33
-42 + 20x = 33 + 5x

Solving
-42 + 20x = 33 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-42 + 20x + -5x = 33 + 5x + -5x

Combine like terms: 20x + -5x = 15x
-42 + 15x = 33 + 5x + -5x

Combine like terms: 5x + -5x = 0
-42 + 15x = 33 + 0
-42 + 15x = 33

Add '42' to each side of the equation.
-42 + 42 + 15x = 33 + 42

Combine like terms: -42 + 42 = 0
0 + 15x = 33 + 42
15x = 33 + 42

Combine like terms: 33 + 42 = 75
15x = 75

Divide each side by '15'.
x = 5

Simplifying
x = 5

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