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

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


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

Reorder the terms:
3(-4 + 5x) + 3(5 + -2x) = 4(2x + 3) + -2
(-4 * 3 + 5x * 3) + 3(5 + -2x) = 4(2x + 3) + -2
(-12 + 15x) + 3(5 + -2x) = 4(2x + 3) + -2
-12 + 15x + (5 * 3 + -2x * 3) = 4(2x + 3) + -2
-12 + 15x + (15 + -6x) = 4(2x + 3) + -2

Reorder the terms:
-12 + 15 + 15x + -6x = 4(2x + 3) + -2

Combine like terms: -12 + 15 = 3
3 + 15x + -6x = 4(2x + 3) + -2

Combine like terms: 15x + -6x = 9x
3 + 9x = 4(2x + 3) + -2

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

Reorder the terms:
3 + 9x = 12 + -2 + 8x

Combine like terms: 12 + -2 = 10
3 + 9x = 10 + 8x

Solving
3 + 9x = 10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 9x + -8x = 10 + 8x + -8x

Combine like terms: 9x + -8x = 1x
3 + 1x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + 1x = 10 + 0
3 + 1x = 10

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

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

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

Divide each side by '1'.
x = 7

Simplifying
x = 7

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