2(3x-7)+4(3x+2)=6(5x-9)+3

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Solution for 2(3x-7)+4(3x+2)=6(5x-9)+3 equation:


Simplifying
2(3x + -7) + 4(3x + 2) = 6(5x + -9) + 3

Reorder the terms:
2(-7 + 3x) + 4(3x + 2) = 6(5x + -9) + 3
(-7 * 2 + 3x * 2) + 4(3x + 2) = 6(5x + -9) + 3
(-14 + 6x) + 4(3x + 2) = 6(5x + -9) + 3

Reorder the terms:
-14 + 6x + 4(2 + 3x) = 6(5x + -9) + 3
-14 + 6x + (2 * 4 + 3x * 4) = 6(5x + -9) + 3
-14 + 6x + (8 + 12x) = 6(5x + -9) + 3

Reorder the terms:
-14 + 8 + 6x + 12x = 6(5x + -9) + 3

Combine like terms: -14 + 8 = -6
-6 + 6x + 12x = 6(5x + -9) + 3

Combine like terms: 6x + 12x = 18x
-6 + 18x = 6(5x + -9) + 3

Reorder the terms:
-6 + 18x = 6(-9 + 5x) + 3
-6 + 18x = (-9 * 6 + 5x * 6) + 3
-6 + 18x = (-54 + 30x) + 3

Reorder the terms:
-6 + 18x = -54 + 3 + 30x

Combine like terms: -54 + 3 = -51
-6 + 18x = -51 + 30x

Solving
-6 + 18x = -51 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-6 + 18x + -30x = -51 + 30x + -30x

Combine like terms: 18x + -30x = -12x
-6 + -12x = -51 + 30x + -30x

Combine like terms: 30x + -30x = 0
-6 + -12x = -51 + 0
-6 + -12x = -51

Add '6' to each side of the equation.
-6 + 6 + -12x = -51 + 6

Combine like terms: -6 + 6 = 0
0 + -12x = -51 + 6
-12x = -51 + 6

Combine like terms: -51 + 6 = -45
-12x = -45

Divide each side by '-12'.
x = 3.75

Simplifying
x = 3.75

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