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

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


Simplifying
3x + 5(1 + -2x) = 4 + -3(x + 1)
3x + (1 * 5 + -2x * 5) = 4 + -3(x + 1)
3x + (5 + -10x) = 4 + -3(x + 1)

Reorder the terms:
5 + 3x + -10x = 4 + -3(x + 1)

Combine like terms: 3x + -10x = -7x
5 + -7x = 4 + -3(x + 1)

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

Combine like terms: 4 + -3 = 1
5 + -7x = 1 + -3x

Solving
5 + -7x = 1 + -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.
5 + -7x + 3x = 1 + -3x + 3x

Combine like terms: -7x + 3x = -4x
5 + -4x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + -4x = 1 + 0
5 + -4x = 1

Add '-5' to each side of the equation.
5 + -5 + -4x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 1 + -5
-4x = 1 + -5

Combine like terms: 1 + -5 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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