4(2x+-1)=5(x+7)

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Solution for 4(2x+-1)=5(x+7) equation:


Simplifying
4(2x + -1) = 5(x + 7)

Reorder the terms:
4(-1 + 2x) = 5(x + 7)
(-1 * 4 + 2x * 4) = 5(x + 7)
(-4 + 8x) = 5(x + 7)

Reorder the terms:
-4 + 8x = 5(7 + x)
-4 + 8x = (7 * 5 + x * 5)
-4 + 8x = (35 + 5x)

Solving
-4 + 8x = 35 + 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.
-4 + 8x + -5x = 35 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-4 + 3x = 35 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 3x = 35 + 0
-4 + 3x = 35

Add '4' to each side of the equation.
-4 + 4 + 3x = 35 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 35 + 4
3x = 35 + 4

Combine like terms: 35 + 4 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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