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

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


Simplifying
3(2 + -5x) + 4 = 5(x + 1) + -1(2x + 7)
(2 * 3 + -5x * 3) + 4 = 5(x + 1) + -1(2x + 7)
(6 + -15x) + 4 = 5(x + 1) + -1(2x + 7)

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

Combine like terms: 6 + 4 = 10
10 + -15x = 5(x + 1) + -1(2x + 7)

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

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

Reorder the terms:
10 + -15x = 5 + -7 + 5x + -2x

Combine like terms: 5 + -7 = -2
10 + -15x = -2 + 5x + -2x

Combine like terms: 5x + -2x = 3x
10 + -15x = -2 + 3x

Solving
10 + -15x = -2 + 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.
10 + -15x + -3x = -2 + 3x + -3x

Combine like terms: -15x + -3x = -18x
10 + -18x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -18x = -2 + 0
10 + -18x = -2

Add '-10' to each side of the equation.
10 + -10 + -18x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -18x = -2 + -10
-18x = -2 + -10

Combine like terms: -2 + -10 = -12
-18x = -12

Divide each side by '-18'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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