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

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


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

Reorder the terms:
5(2 + 3x) + -7(1 + -1x) = 4x + -7
(2 * 5 + 3x * 5) + -7(1 + -1x) = 4x + -7
(10 + 15x) + -7(1 + -1x) = 4x + -7
10 + 15x + (1 * -7 + -1x * -7) = 4x + -7
10 + 15x + (-7 + 7x) = 4x + -7

Reorder the terms:
10 + -7 + 15x + 7x = 4x + -7

Combine like terms: 10 + -7 = 3
3 + 15x + 7x = 4x + -7

Combine like terms: 15x + 7x = 22x
3 + 22x = 4x + -7

Reorder the terms:
3 + 22x = -7 + 4x

Solving
3 + 22x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + 22x + -4x = -7 + 4x + -4x

Combine like terms: 22x + -4x = 18x
3 + 18x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + 18x = -7 + 0
3 + 18x = -7

Add '-3' to each side of the equation.
3 + -3 + 18x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + 18x = -7 + -3
18x = -7 + -3

Combine like terms: -7 + -3 = -10
18x = -10

Divide each side by '18'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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