3x+4+2x+3=14x-6+x-1

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Solution for 3x+4+2x+3=14x-6+x-1 equation:


Simplifying
3x + 4 + 2x + 3 = 14x + -6 + x + -1

Reorder the terms:
4 + 3 + 3x + 2x = 14x + -6 + x + -1

Combine like terms: 4 + 3 = 7
7 + 3x + 2x = 14x + -6 + x + -1

Combine like terms: 3x + 2x = 5x
7 + 5x = 14x + -6 + x + -1

Reorder the terms:
7 + 5x = -6 + -1 + 14x + x

Combine like terms: -6 + -1 = -7
7 + 5x = -7 + 14x + x

Combine like terms: 14x + x = 15x
7 + 5x = -7 + 15x

Solving
7 + 5x = -7 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
7 + 5x + -15x = -7 + 15x + -15x

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

Combine like terms: 15x + -15x = 0
7 + -10x = -7 + 0
7 + -10x = -7

Add '-7' to each side of the equation.
7 + -7 + -10x = -7 + -7

Combine like terms: 7 + -7 = 0
0 + -10x = -7 + -7
-10x = -7 + -7

Combine like terms: -7 + -7 = -14
-10x = -14

Divide each side by '-10'.
x = 1.4

Simplifying
x = 1.4

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