6(5x-1)-4(5x-4)=9x+3

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Solution for 6(5x-1)-4(5x-4)=9x+3 equation:


Simplifying
6(5x + -1) + -4(5x + -4) = 9x + 3

Reorder the terms:
6(-1 + 5x) + -4(5x + -4) = 9x + 3
(-1 * 6 + 5x * 6) + -4(5x + -4) = 9x + 3
(-6 + 30x) + -4(5x + -4) = 9x + 3

Reorder the terms:
-6 + 30x + -4(-4 + 5x) = 9x + 3
-6 + 30x + (-4 * -4 + 5x * -4) = 9x + 3
-6 + 30x + (16 + -20x) = 9x + 3

Reorder the terms:
-6 + 16 + 30x + -20x = 9x + 3

Combine like terms: -6 + 16 = 10
10 + 30x + -20x = 9x + 3

Combine like terms: 30x + -20x = 10x
10 + 10x = 9x + 3

Reorder the terms:
10 + 10x = 3 + 9x

Solving
10 + 10x = 3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10 + 10x + -9x = 3 + 9x + -9x

Combine like terms: 10x + -9x = 1x
10 + 1x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + 1x = 3 + 0
10 + 1x = 3

Add '-10' to each side of the equation.
10 + -10 + 1x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 3 + -10
1x = 3 + -10

Combine like terms: 3 + -10 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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