4(x-3)+5(x+7)=3x+29

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Solution for 4(x-3)+5(x+7)=3x+29 equation:


Simplifying
4(x + -3) + 5(x + 7) = 3x + 29

Reorder the terms:
4(-3 + x) + 5(x + 7) = 3x + 29
(-3 * 4 + x * 4) + 5(x + 7) = 3x + 29
(-12 + 4x) + 5(x + 7) = 3x + 29

Reorder the terms:
-12 + 4x + 5(7 + x) = 3x + 29
-12 + 4x + (7 * 5 + x * 5) = 3x + 29
-12 + 4x + (35 + 5x) = 3x + 29

Reorder the terms:
-12 + 35 + 4x + 5x = 3x + 29

Combine like terms: -12 + 35 = 23
23 + 4x + 5x = 3x + 29

Combine like terms: 4x + 5x = 9x
23 + 9x = 3x + 29

Reorder the terms:
23 + 9x = 29 + 3x

Solving
23 + 9x = 29 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
23 + 9x + -3x = 29 + 3x + -3x

Combine like terms: 9x + -3x = 6x
23 + 6x = 29 + 3x + -3x

Combine like terms: 3x + -3x = 0
23 + 6x = 29 + 0
23 + 6x = 29

Add '-23' to each side of the equation.
23 + -23 + 6x = 29 + -23

Combine like terms: 23 + -23 = 0
0 + 6x = 29 + -23
6x = 29 + -23

Combine like terms: 29 + -23 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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