2(3x+4)+3(4x-9)=53

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Solution for 2(3x+4)+3(4x-9)=53 equation:


Simplifying
2(3x + 4) + 3(4x + -9) = 53

Reorder the terms:
2(4 + 3x) + 3(4x + -9) = 53
(4 * 2 + 3x * 2) + 3(4x + -9) = 53
(8 + 6x) + 3(4x + -9) = 53

Reorder the terms:
8 + 6x + 3(-9 + 4x) = 53
8 + 6x + (-9 * 3 + 4x * 3) = 53
8 + 6x + (-27 + 12x) = 53

Reorder the terms:
8 + -27 + 6x + 12x = 53

Combine like terms: 8 + -27 = -19
-19 + 6x + 12x = 53

Combine like terms: 6x + 12x = 18x
-19 + 18x = 53

Solving
-19 + 18x = 53

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 18x = 53 + 19

Combine like terms: -19 + 19 = 0
0 + 18x = 53 + 19
18x = 53 + 19

Combine like terms: 53 + 19 = 72
18x = 72

Divide each side by '18'.
x = 4

Simplifying
x = 4

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