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

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


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

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

Reorder the terms:
7 + 5x = 4(4 + x) + -4
7 + 5x = (4 * 4 + x * 4) + -4
7 + 5x = (16 + 4x) + -4

Reorder the terms:
7 + 5x = 16 + -4 + 4x

Combine like terms: 16 + -4 = 12
7 + 5x = 12 + 4x

Solving
7 + 5x = 12 + 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.
7 + 5x + -4x = 12 + 4x + -4x

Combine like terms: 5x + -4x = 1x
7 + 1x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + 1x = 12 + 0
7 + 1x = 12

Add '-7' to each side of the equation.
7 + -7 + 1x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 12 + -7
1x = 12 + -7

Combine like terms: 12 + -7 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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