4(x+4)=7x+13

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Solution for 4(x+4)=7x+13 equation: 


Simplifying
4(x + 4) = 7x + 13

Reorder the terms:
4(4 + x) = 7x + 13
(4 * 4 + x * 4) = 7x + 13
(16 + 4x) = 7x + 13

Reorder the terms:
16 + 4x = 13 + 7x

Solving
16 + 4x = 13 + 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.
16 + 4x + -7x = 13 + 7x + -7x

Combine like terms: 4x + -7x = -3x
16 + -3x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -3x = 13 + 0
16 + -3x = 13

Add '-16' to each side of the equation.
16 + -16 + -3x = 13 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 13 + -16
-3x = 13 + -16

Combine like terms: 13 + -16 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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