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

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


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

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

Reorder the terms:
20 + 4x + -3(-3 + x) = 34
20 + 4x + (-3 * -3 + x * -3) = 34
20 + 4x + (9 + -3x) = 34

Reorder the terms:
20 + 9 + 4x + -3x = 34

Combine like terms: 20 + 9 = 29
29 + 4x + -3x = 34

Combine like terms: 4x + -3x = 1x
29 + 1x = 34

Solving
29 + 1x = 34

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + 1x = 34 + -29

Combine like terms: 29 + -29 = 0
0 + 1x = 34 + -29
1x = 34 + -29

Combine like terms: 34 + -29 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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