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

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


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

Reorder the terms:
4(-3 + 7x) + -4(3x + -7) = 3(5x + 1) + -2
(-3 * 4 + 7x * 4) + -4(3x + -7) = 3(5x + 1) + -2
(-12 + 28x) + -4(3x + -7) = 3(5x + 1) + -2

Reorder the terms:
-12 + 28x + -4(-7 + 3x) = 3(5x + 1) + -2
-12 + 28x + (-7 * -4 + 3x * -4) = 3(5x + 1) + -2
-12 + 28x + (28 + -12x) = 3(5x + 1) + -2

Reorder the terms:
-12 + 28 + 28x + -12x = 3(5x + 1) + -2

Combine like terms: -12 + 28 = 16
16 + 28x + -12x = 3(5x + 1) + -2

Combine like terms: 28x + -12x = 16x
16 + 16x = 3(5x + 1) + -2

Reorder the terms:
16 + 16x = 3(1 + 5x) + -2
16 + 16x = (1 * 3 + 5x * 3) + -2
16 + 16x = (3 + 15x) + -2

Reorder the terms:
16 + 16x = 3 + -2 + 15x

Combine like terms: 3 + -2 = 1
16 + 16x = 1 + 15x

Solving
16 + 16x = 1 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
16 + 16x + -15x = 1 + 15x + -15x

Combine like terms: 16x + -15x = 1x
16 + 1x = 1 + 15x + -15x

Combine like terms: 15x + -15x = 0
16 + 1x = 1 + 0
16 + 1x = 1

Add '-16' to each side of the equation.
16 + -16 + 1x = 1 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 1 + -16
1x = 1 + -16

Combine like terms: 1 + -16 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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