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

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


Simplifying
4 + -3x + 2(5 + -3x) = 4x + 1
4 + -3x + (5 * 2 + -3x * 2) = 4x + 1
4 + -3x + (10 + -6x) = 4x + 1

Reorder the terms:
4 + 10 + -3x + -6x = 4x + 1

Combine like terms: 4 + 10 = 14
14 + -3x + -6x = 4x + 1

Combine like terms: -3x + -6x = -9x
14 + -9x = 4x + 1

Reorder the terms:
14 + -9x = 1 + 4x

Solving
14 + -9x = 1 + 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.
14 + -9x + -4x = 1 + 4x + -4x

Combine like terms: -9x + -4x = -13x
14 + -13x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -13x = 1 + 0
14 + -13x = 1

Add '-14' to each side of the equation.
14 + -14 + -13x = 1 + -14

Combine like terms: 14 + -14 = 0
0 + -13x = 1 + -14
-13x = 1 + -14

Combine like terms: 1 + -14 = -13
-13x = -13

Divide each side by '-13'.
x = 1

Simplifying
x = 1

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