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

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


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

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

Combine like terms: 6 + 4 = 10
10 + -15x = 3 + -2(x + 1)

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

Combine like terms: 3 + -2 = 1
10 + -15x = 1 + -2x

Solving
10 + -15x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
10 + -15x + 2x = 1 + -2x + 2x

Combine like terms: -15x + 2x = -13x
10 + -13x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + -13x = 1 + 0
10 + -13x = 1

Add '-10' to each side of the equation.
10 + -10 + -13x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -13x = 1 + -10
-13x = 1 + -10

Combine like terms: 1 + -10 = -9
-13x = -9

Divide each side by '-13'.
x = 0.6923076923

Simplifying
x = 0.6923076923

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