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

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


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

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

Reorder the terms:
-20 + 5 + 5x = 4x + -7

Combine like terms: -20 + 5 = -15
-15 + 5x = 4x + -7

Reorder the terms:
-15 + 5x = -7 + 4x

Solving
-15 + 5x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + 5x + -4x = -7 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-15 + 1x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 1x = -7 + 0
-15 + 1x = -7

Add '15' to each side of the equation.
-15 + 15 + 1x = -7 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -7 + 15
1x = -7 + 15

Combine like terms: -7 + 15 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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