4(4x+7)=7x+37

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Solution for 4(4x+7)=7x+37 equation:


Simplifying
4(4x + 7) = 7x + 37

Reorder the terms:
4(7 + 4x) = 7x + 37
(7 * 4 + 4x * 4) = 7x + 37
(28 + 16x) = 7x + 37

Reorder the terms:
28 + 16x = 37 + 7x

Solving
28 + 16x = 37 + 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.
28 + 16x + -7x = 37 + 7x + -7x

Combine like terms: 16x + -7x = 9x
28 + 9x = 37 + 7x + -7x

Combine like terms: 7x + -7x = 0
28 + 9x = 37 + 0
28 + 9x = 37

Add '-28' to each side of the equation.
28 + -28 + 9x = 37 + -28

Combine like terms: 28 + -28 = 0
0 + 9x = 37 + -28
9x = 37 + -28

Combine like terms: 37 + -28 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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