4(x+5)-3x+27=5x+2(7)

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Solution for 4(x+5)-3x+27=5x+2(7) equation:


Simplifying
4(x + 5) + -3x + 27 = 5x + 2(7)

Reorder the terms:
4(5 + x) + -3x + 27 = 5x + 2(7)
(5 * 4 + x * 4) + -3x + 27 = 5x + 2(7)
(20 + 4x) + -3x + 27 = 5x + 2(7)

Reorder the terms:
20 + 27 + 4x + -3x = 5x + 2(7)

Combine like terms: 20 + 27 = 47
47 + 4x + -3x = 5x + 2(7)

Combine like terms: 4x + -3x = 1x
47 + 1x = 5x + 2(7)

Multiply 2 * 7
47 + 1x = 5x + 14

Reorder the terms:
47 + 1x = 14 + 5x

Solving
47 + 1x = 14 + 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.
47 + 1x + -5x = 14 + 5x + -5x

Combine like terms: 1x + -5x = -4x
47 + -4x = 14 + 5x + -5x

Combine like terms: 5x + -5x = 0
47 + -4x = 14 + 0
47 + -4x = 14

Add '-47' to each side of the equation.
47 + -47 + -4x = 14 + -47

Combine like terms: 47 + -47 = 0
0 + -4x = 14 + -47
-4x = 14 + -47

Combine like terms: 14 + -47 = -33
-4x = -33

Divide each side by '-4'.
x = 8.25

Simplifying
x = 8.25

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