34=-3x+5(x+4)

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Solution for 34=-3x+5(x+4) equation:


Simplifying
34 = -3x + 5(x + 4)

Reorder the terms:
34 = -3x + 5(4 + x)
34 = -3x + (4 * 5 + x * 5)
34 = -3x + (20 + 5x)

Reorder the terms:
34 = 20 + -3x + 5x

Combine like terms: -3x + 5x = 2x
34 = 20 + 2x

Solving
34 = 20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
34 + -2x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
34 + -2x = 20 + 0
34 + -2x = 20

Add '-34' to each side of the equation.
34 + -34 + -2x = 20 + -34

Combine like terms: 34 + -34 = 0
0 + -2x = 20 + -34
-2x = 20 + -34

Combine like terms: 20 + -34 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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