2(3x-5)+4(x+8)=3x+29

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Solution for 2(3x-5)+4(x+8)=3x+29 equation:


Simplifying
2(3x + -5) + 4(x + 8) = 3x + 29

Reorder the terms:
2(-5 + 3x) + 4(x + 8) = 3x + 29
(-5 * 2 + 3x * 2) + 4(x + 8) = 3x + 29
(-10 + 6x) + 4(x + 8) = 3x + 29

Reorder the terms:
-10 + 6x + 4(8 + x) = 3x + 29
-10 + 6x + (8 * 4 + x * 4) = 3x + 29
-10 + 6x + (32 + 4x) = 3x + 29

Reorder the terms:
-10 + 32 + 6x + 4x = 3x + 29

Combine like terms: -10 + 32 = 22
22 + 6x + 4x = 3x + 29

Combine like terms: 6x + 4x = 10x
22 + 10x = 3x + 29

Reorder the terms:
22 + 10x = 29 + 3x

Solving
22 + 10x = 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.
22 + 10x + -3x = 29 + 3x + -3x

Combine like terms: 10x + -3x = 7x
22 + 7x = 29 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + 7x = 29 + 0
22 + 7x = 29

Add '-22' to each side of the equation.
22 + -22 + 7x = 29 + -22

Combine like terms: 22 + -22 = 0
0 + 7x = 29 + -22
7x = 29 + -22

Combine like terms: 29 + -22 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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