4(7x-1)+3(2-5x)=4(3x+5)-6

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Solution for 4(7x-1)+3(2-5x)=4(3x+5)-6 equation:


Simplifying
4(7x + -1) + 3(2 + -5x) = 4(3x + 5) + -6

Reorder the terms:
4(-1 + 7x) + 3(2 + -5x) = 4(3x + 5) + -6
(-1 * 4 + 7x * 4) + 3(2 + -5x) = 4(3x + 5) + -6
(-4 + 28x) + 3(2 + -5x) = 4(3x + 5) + -6
-4 + 28x + (2 * 3 + -5x * 3) = 4(3x + 5) + -6
-4 + 28x + (6 + -15x) = 4(3x + 5) + -6

Reorder the terms:
-4 + 6 + 28x + -15x = 4(3x + 5) + -6

Combine like terms: -4 + 6 = 2
2 + 28x + -15x = 4(3x + 5) + -6

Combine like terms: 28x + -15x = 13x
2 + 13x = 4(3x + 5) + -6

Reorder the terms:
2 + 13x = 4(5 + 3x) + -6
2 + 13x = (5 * 4 + 3x * 4) + -6
2 + 13x = (20 + 12x) + -6

Reorder the terms:
2 + 13x = 20 + -6 + 12x

Combine like terms: 20 + -6 = 14
2 + 13x = 14 + 12x

Solving
2 + 13x = 14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + 13x + -12x = 14 + 12x + -12x

Combine like terms: 13x + -12x = 1x
2 + 1x = 14 + 12x + -12x

Combine like terms: 12x + -12x = 0
2 + 1x = 14 + 0
2 + 1x = 14

Add '-2' to each side of the equation.
2 + -2 + 1x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 14 + -2
1x = 14 + -2

Combine like terms: 14 + -2 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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