57=2(4x+7)-5

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Solution for 57=2(4x+7)-5 equation:


Simplifying
57 = 2(4x + 7) + -5

Reorder the terms:
57 = 2(7 + 4x) + -5
57 = (7 * 2 + 4x * 2) + -5
57 = (14 + 8x) + -5

Reorder the terms:
57 = 14 + -5 + 8x

Combine like terms: 14 + -5 = 9
57 = 9 + 8x

Solving
57 = 9 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
57 + -8x = 9 + 8x + -8x

Combine like terms: 8x + -8x = 0
57 + -8x = 9 + 0
57 + -8x = 9

Add '-57' to each side of the equation.
57 + -57 + -8x = 9 + -57

Combine like terms: 57 + -57 = 0
0 + -8x = 9 + -57
-8x = 9 + -57

Combine like terms: 9 + -57 = -48
-8x = -48

Divide each side by '-8'.
x = 6

Simplifying
x = 6

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