267=5(8x+4)+7

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Solution for 267=5(8x+4)+7 equation:


Simplifying
267 = 5(8x + 4) + 7

Reorder the terms:
267 = 5(4 + 8x) + 7
267 = (4 * 5 + 8x * 5) + 7
267 = (20 + 40x) + 7

Reorder the terms:
267 = 20 + 7 + 40x

Combine like terms: 20 + 7 = 27
267 = 27 + 40x

Solving
267 = 27 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
267 + -40x = 27 + 40x + -40x

Combine like terms: 40x + -40x = 0
267 + -40x = 27 + 0
267 + -40x = 27

Add '-267' to each side of the equation.
267 + -267 + -40x = 27 + -267

Combine like terms: 267 + -267 = 0
0 + -40x = 27 + -267
-40x = 27 + -267

Combine like terms: 27 + -267 = -240
-40x = -240

Divide each side by '-40'.
x = 6

Simplifying
x = 6

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