3(5x-5)+7(x+3)=4(x+8)-(x+2)

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Solution for 3(5x-5)+7(x+3)=4(x+8)-(x+2) equation:


Simplifying
3(5x + -5) + 7(x + 3) = 4(x + 8) + -1(x + 2)

Reorder the terms:
3(-5 + 5x) + 7(x + 3) = 4(x + 8) + -1(x + 2)
(-5 * 3 + 5x * 3) + 7(x + 3) = 4(x + 8) + -1(x + 2)
(-15 + 15x) + 7(x + 3) = 4(x + 8) + -1(x + 2)

Reorder the terms:
-15 + 15x + 7(3 + x) = 4(x + 8) + -1(x + 2)
-15 + 15x + (3 * 7 + x * 7) = 4(x + 8) + -1(x + 2)
-15 + 15x + (21 + 7x) = 4(x + 8) + -1(x + 2)

Reorder the terms:
-15 + 21 + 15x + 7x = 4(x + 8) + -1(x + 2)

Combine like terms: -15 + 21 = 6
6 + 15x + 7x = 4(x + 8) + -1(x + 2)

Combine like terms: 15x + 7x = 22x
6 + 22x = 4(x + 8) + -1(x + 2)

Reorder the terms:
6 + 22x = 4(8 + x) + -1(x + 2)
6 + 22x = (8 * 4 + x * 4) + -1(x + 2)
6 + 22x = (32 + 4x) + -1(x + 2)

Reorder the terms:
6 + 22x = 32 + 4x + -1(2 + x)
6 + 22x = 32 + 4x + (2 * -1 + x * -1)
6 + 22x = 32 + 4x + (-2 + -1x)

Reorder the terms:
6 + 22x = 32 + -2 + 4x + -1x

Combine like terms: 32 + -2 = 30
6 + 22x = 30 + 4x + -1x

Combine like terms: 4x + -1x = 3x
6 + 22x = 30 + 3x

Solving
6 + 22x = 30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 22x + -3x = 30 + 3x + -3x

Combine like terms: 22x + -3x = 19x
6 + 19x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 19x = 30 + 0
6 + 19x = 30

Add '-6' to each side of the equation.
6 + -6 + 19x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 19x = 30 + -6
19x = 30 + -6

Combine like terms: 30 + -6 = 24
19x = 24

Divide each side by '19'.
x = 1.263157895

Simplifying
x = 1.263157895

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