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

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


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

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

Reorder the terms:
-6 + 15x + -4(4 + x) = 7(x + -1) + 1
-6 + 15x + (4 * -4 + x * -4) = 7(x + -1) + 1
-6 + 15x + (-16 + -4x) = 7(x + -1) + 1

Reorder the terms:
-6 + -16 + 15x + -4x = 7(x + -1) + 1

Combine like terms: -6 + -16 = -22
-22 + 15x + -4x = 7(x + -1) + 1

Combine like terms: 15x + -4x = 11x
-22 + 11x = 7(x + -1) + 1

Reorder the terms:
-22 + 11x = 7(-1 + x) + 1
-22 + 11x = (-1 * 7 + x * 7) + 1
-22 + 11x = (-7 + 7x) + 1

Reorder the terms:
-22 + 11x = -7 + 1 + 7x

Combine like terms: -7 + 1 = -6
-22 + 11x = -6 + 7x

Solving
-22 + 11x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-22 + 11x + -7x = -6 + 7x + -7x

Combine like terms: 11x + -7x = 4x
-22 + 4x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-22 + 4x = -6 + 0
-22 + 4x = -6

Add '22' to each side of the equation.
-22 + 22 + 4x = -6 + 22

Combine like terms: -22 + 22 = 0
0 + 4x = -6 + 22
4x = -6 + 22

Combine like terms: -6 + 22 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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